I would strongly recommend not bothering with the lead acid. The extra weight will only increase energy use, especially when plowing through soft snow.
instead, consider nissan leaf modules or volt modules, series / paralleled as necessary to get the voltage and AH you want. With any DC motor you are considering, there probably isn't any reason not to go to 72V as well (10 leaf modules in series are 66ah, so 10s2p would be 133ah usable. The controller will step down the battery voltage anyway.
Note that the 80% derate on lead acid is just for depth of discharge, and the same rule of thumb applies to the lithium. However what will really kill you is the peukert effect, which means the faster you use power from lead acid, the less overall energy you get. for full size roadgoing EVs, NEW lead acid you could get about HALF rated capacity in normal driving. Colder makes it WORSE. we are talking about snow machines here
a single leaf module (7v, 66ah) weighs about 8lbs. So the pack of 20 I am recommending, with bus bars and tie downs would probably be about 200lbs.
a single T-1275 trojan weights 80lbs, so the whole pack with tie downs would be pushing 400lbs.
a 72V, 130ah lithium pack with leaf modules would probably have 3-4x the usable energy capacity of a 48v, 150ah trojan pack under those conditions. Not to mention weighing half.
on motor selection, an AC setup (even a real AC forklift motor

) might be a bit more reliable long term than brushed DC, but the usual roadgoing benefit (regen) aren't likely to apply in this situation. However if you can find a fully enclosed frame motor, that might help keep dirt/moisture out of it which would be a plus.
Good luck