You can run rcomps with SCCA and stay in your stock class. I run Hoosiers and TireRack sells them. Here's the sizes I run:
Front 285/30/18 with 5mm spacers (also legal up to 1/4" which I think is about 10mm), but you might need to shave a bolt on the upper inside of each front wheel well for the rubber to clear. Youll find it quick when it leaves a groove on the inside shoulder of the tire
If you go with a spacer wider than 5mm, you may not need to shave the bolt.
Rear size is 295/30/19 No rubbing issues at all
My tire shop raised their eyebrows when they saw that big meat going onto narrows rims, but they got 'em on there and I've had no problems with racing them.
I have an SRT6 and I mounted the Hoosiers on some NA wheels that a friend gave me.
I ran 2 seasons in the stock class then modded the car and currently run SSM
I've done nothing to alter the traction control other than switching it off in the cockpit. No problems so far with it interfering.
The first stock legal mod I did was to install Porterfield brake pads. Check my sig for the model type. No brake dust and better stopping power.