Controller and I use analog, the road feedback is excellent better than some modern games I've playedAre you using a wheel or controller? Sounds like you have a wheel.
If you use a controller, you can switch from digital to analog steering in the game's Options menu. The game gives us digital by default, but analog can be toggled on in the menus. I'm not sure if a wheel has options like this. If it does, maybe you can find steering settings which make the car not steer so forcefully.