1" Wider Wheel for Tire?

I am running 13" radial race slicks for P1/Formula cars on my TT Super Seven (1,500 lbs with driver). The Goodyear slicks I run for the back are for 11" wide rims according to the Goodyear data. I have 10" rims and 12" rims and don't want to invest in another set of rims. Is it better to run the 12" rims or 10" rims.

What is your exact tire size? You could go either way you just don't want to pinch the sidewalls too much with the 10 inch the 12s will probably work fine

The tire size is 22.5 x 11-13 D4583 Formula Radial.