As far as I know, there is no WarP9 high voltage version, only a high voltage version of the WarP11, 11" motor with max 288V. The max voltage for the WarP9 is 170V, with 156V recommended.
Netgain has a new 9" HV model good for 192V. It is offered as part of the prize package for Jack Rickard's contest. It is very new, and may not yet be officially for sale. But it exists and has been developed by Netgain.
I don't see why you think a bms permits you to discharge the cells 100%. You can do that with or without a bms, but it will greatly shorten the cycle life of the cells.
LiFePO4 can handle full discharges and have high cycle life; what is tricky about them is that without a BMS that actively manages them upon discharge, they become unbalanced towards the end of their discharge cycle, and the weaker cells will start to die out prematurely. A BMS that mitigates this effect could allow them to be deep discharged.
That being said, an 80% discharge cycle with a 'limp mode' built in when it reaches 20% SoC would still give sufficient range, for less money, than paying for a BMS, a BMS which may not even do what you need it to.
I think the difficulty in this conversion is the fact that such a high acceleration rate will require high battery pack voltage AND high battery power to handle the large currents required for such acceleration. I think that would require something like a series-parallel pack of Headway cells, as prismatic cells (Thundersky, CALB) would have to be large capacity (Ah) to handle such currents due to their spec of max current about 3C to 4C.
4C is plenty, if the goal is 0-60 mph in 6 seconds in what would be a 2300 lb car. The controller can limit the current draw from the pack, and counting battery voltage sag at 400A draw, there would easily be 100 kW electrical available with such a pack. With 1000A max at the motor, provided until the battery cannot deliver enough power to extend that 1000A to the high voltage end of the motor's curve, it also prevents too much current from going to the motor at high voltage. Such a pack might only allow 450A @ 192V at the motor electrically.
This would still be enough power for the desired acceleration, given numerous conversions with weight around 2300-2400 lbs, with similar power at their disposal(eg. Blue Meanie, John Wayland's Datsun 1200 that does 0-60 mph in 5.5 seconds with a 168V/1000A ADC 9"/Zilla setup in a 2400 lb package, where the battery pack sags to ~130V @ 1000A, and would have much less upper RPM power than this hypothetical LiFePO4 Elise, although the 1000A torque on Blue Meanie would be extended further down the motor's RPM range). The key to getting this acceleration is the 1000A at the motor; I do believe the Soliton can keep an absolute limit on battery current, yet allow the user to set a higher motor current limit, like the zilla, and that would be key to getting the desired acceleration with a low power, low current LiFePO4 pack.
The headway cells or A123s or other high power variants would probably prove much too expensive for his cost goal.
Jack Rickard's electric Porsche Speedster, with only a ~25 kWh CALB pack, can still do 0-60 mph in 7 seconds(pack probably makes a little less than 100 kW). An Elise with a more powerful pack that is 30 kWh nominal, more powerful and higher torque drive system, and similar weight would probably fair much better.
While my proposed setup wouldn't give sub-5-sec 0-60, in would be close, probably somewhere in the 5 sec range.
The car likely wouldn't have enough room for enough of these to get the higher voltage required. I would guess you could get less than 7 sec 0-60 with just a WarP9, Zilla 1k or Soliton1, and 156V pack of 200Ah TS cells (if there is space for 46 them), with battery current limit set to 800 (4C). A battery current limit of 400A would greatly limit performance.
The car may or may not have enough room. The converter will have to determine that. Judging from the conversions I've seen, it probably will have enough, but the builder will have to figure that out before coming to a conclusion on what he wanted.
It matters not whether you have a pack that can dish out 400A or 800A, if they both weigh the same, both have the same power per unit of weight, but one has twice the nominal voltage, when using a Zilla. You can independently set the battery current limit from the motor current limit, and set a max motor voltage that is less than the pack's nominal voltage.
If he were using an upgraded Curtis, a ReVolt, or DCP Raptor, he'd need a larger AH pack to get the motor current needed. Not so with a Zilla.
With a Zilla, if two packs are capable of 100 kW to the motor, they will give roughly the same performance, but with one exception: the higher voltage pack would allow a higher motor voltage limit, increasing top speed and upper RPM acceleration. While peak power basically doesn't change, the higher voltage setup gives you more total area under the torque versus RPM curve.
That being said, 156V would easily get an Elise to 100 mph, if not 110. After that, it would run out of upper RPM power. Further, a higher max motor voltage lowers current draw at speed, allowing the motor to maintain a high speed for a longer duration before it overheats(given that a series DC motor's continous power is rated based on its continuous current, and its max continuous horsepower increases correspondingly with the motor's max voltage at that current draw, subtracting new losses that form due to things like higher RPM operation).
If a BMS is wanted, it would be cheaper for a 156V pack than a 300V one though.
I was making a suggestion that would help maximize top end performance, as well as allowing good acceleration.
This pack would significantly exceed your range requirement, somewhere in excess of 100 mile range I would guess.
Maybe. The Elise is very light, but its aerodynamics leave a bit to be desired. I made the assumption that it would need about 220 Wh/mile to maintain 60 mph based on some back of the envelope calculations. It has a drag area of 0.65 m^2 with the top on, and assumed was sticky tires with a Crr of 0.012. Discharge to 80%, account for a very tiny Peukert's effect in LiFePO4(next to non existent), and you get 100 miles range on a 300V/100AH LiFePO4 pack at a steady 60 mph.
If he drives very carefully and at lower speeds, and/or uses some very LRR tires in exchange for losing some handling, he might get 150 miles with such a pack to 80% DoD.