I've been playing this game called Sports Car Simulator 2 a lot lately. I think you should try it. There's a ton of cars and they handle really well, even with keyboard. Here's me driving a Honda race car around the primary track. (The audio is a bit messed up near the end, no idea why.)
It's really fun, engine sounds are a little loud, if you get what I mean, but it's fab! a little bit of sway making it poor in handling though.