That was my first thought.
A perfect combination of all-out race performance and street type range, at this point, isn't really going to happen. You're going to compromise one or the other.
For 150 miles in a fast race vehicle, you're automatically talking about the highest power density Lipo cells available, just to build a pack capable of meeting your goals, without weighing more than, and being half the size (or more) of, the vehicle you're putting them in. Your biggest issue then, is going to be cycle life. You go from the thousands of cycles road-going, daily driver, EVs talk about, to hundreds of cycles - meaning you start planning very carefully when and how often you'll use them.
You may not make it then. When researching the same thing for the Inhaler, I priced just the cells for a high-power Kokam-based pack at around $50K (much less range, but possibly more power than you're after?). That's not including connections, case - and most importantly BMS - you're not going to run these cells without a really good BMS, unless you just like the thought of roasting money over an open flame.
So, with great deals/partial sponsorhip, one $50-100,000K battery pack, if it's in your budget, fine. One or more a year, and you start to see why we only see occasional all-out performance demonstrations from the fastest, most powerful, EVs. It's a bit different than that 1200hp dino-burner that just wasted $200 in race fuel at the track.
To add insult to injury, generally, the faster you charge and discharge them, the lower the cycle life number gets...
Those are 12v replacement battery packs made from lithium cells. YOu will charge your pack at pack voltage, with a charger made for it. How fast is dependent on how much $$$ you spend. The LiPo cells, with good BMS, can generally take a pretty fast charge rate - so it's a matter of how much charger you are willing to buy/can afford, and how much power you can safely tap from your source.
We're here to help you learn. You might want to wait a while on that letter to Rimac, because if they get the sense that you don't know what you're doing you'll probably get a pleasant blow-off or no reply. Most companies are very busy and get bombarded with requests from well-meaning, curious, but out of their league enthusiasts; and they're also constantly thinking about liability, negative feedback/word-of-mouth from misuse, etc...