https://www.scca.com/pages/find-your-fun You will probably find more events when it isn't the middle of the winter. Also there are a bunch of clubs that do various track days/high performance driving events.

This is a somewhat complicated thing to do and will require a significant amount of research and preparation. Make sure your car will actually pass tech inspection and that you have the required safety equipment such as a helmet and whatever else they specify. Also this will cost you in the neighborhood of $300-500/day assuming you don't break anything.

The only tracks I personally have any real interest in around here are Palmer motorsports park and the NHMS road course. Although I have had some good times messing around on oval tracks when we found one that was "run what ya brung" for $50/night and let us do whatever we wanted.