Welcome! Instead of starting with an 3-5 year EV from scratch, why not do a 6 mo conversion as a start? You'll learn lots that will make your scratch build go faster, easier, and much better.
A link might be nice...With the budget you have and the performance you want, I think your best AC option would be to get a motor and controller from Bob Simpson. His motors are very well built, with liquid cooling and even with cooling of the rotor. So it has a very high continuous power rating (much higher than any DC motor which are very good for peak power but bad for continuous since it is difficult to do liquid cooling). His controllers are made by Rinehart, which for my money is the best AC controller available to DIY. It won't be cheap, but it will be a monster. He has just one that sounds like it is just what you want for 37k. You'll need probably a 30kwh pack to run it. That would put you back another 15k if you bought it today...probably cheaper when you are ready for that part. Another 10k for a donor worthy of these components, and another 5-10k for charger, dc-dc and odds and ends, and you will be pushing the upper limits of your budget. But if you do a good job it would be worth way more.
Interested to see what you have in mind for a donor. Me, I'd see if I could cram it in an Audi TT Quattro...that kind of power would like 4wd. I don't have your budget though
You'll get plenty of pressure on here to do it cheaper. You could have similar peak power for 20k less if you went DC. But I say if you have the money, go for the gold.
There's certainly nothing wrong with buying books and doing research, but you will probably learn more from here than from any given book.I think you just about have my idea pegged! I'm not exactly trying to build a Tesla, but something similar to it where i have all the control over the design. I have been thinking about my requirements and two things come to mind. Range being the first. I live in Austin, TX and would like to have the ability to travel to some of the major cities on a single charge. That being said 250 to 300 miles would be ideal. Secondly i would like a good deal of power to be able to get up and go. I do a considerable amount of interstate driving, so being able to get up and around people would be nice if needed. I assume that the 250 kw that i stated would be peak power, only used when say going uphill or to pass someone. I will have to figure out specific figures later, but are electric motors rated by their peak power? I read the amount of kw produced depends on your controller and if your motor and batteries can handle the load. I think i need to buy a book and do more research on this matter as I feel so lost! Any suggestions?