OR... Tour de Lemons
Way Cheaper and Way funner
Problem is; that isnt racing. Same with things like the halloween howler. You will learn nothing about being faster. All you will learn is that its way cheaper to buy store brand advil than name brand.
Miata is a very competitive class. They are easily the most driveable car out of the box. They make even me look like a hero on track days. You can get into open wheel with formula v which i hear is a lot of fun. Ive never driven one but they do look fun.
As far as arrive and drive racing, nothing beats ice racing with the guys up in Bath ME. For cheap and fun.
There os also some scca rallye racing around here which is not that expensive depending how you approach it.
If you dont want to race wheel to wheel you can show up with your dd , a fire extinguisher and a helmet and run with the hillclimb guys.