Re: Scca
You'll be looking at a few factors
tire compound: if you're running R compound racing tires then tire width is still needed but less so and they will handle heat cycles better.
aspect ratio (height of tire shoulder): A low tire shoulder gives less tire roll while cornering.
rim size: obviously the size of the rim will play a large factor in rim weight, which effects the efficiency of your power.
I run 215/45/17 all-season tires, and track pretty fast. My last race I ran 55seconds and a 2015 stingray ran 50s. I did find that I was loosing grip in the rear and that my tires after running hot started to loose further grip.
on the small side I've seen some pretty fast civics run 205/40/13's with R tires.
The sweet spot is probably 215/55/14 or something like that.
The only reason I run such large rims is that I think 13-16 look too small, lol, nothing to do with performance.
I don't think 13s will fit over the brakes on the 01-05+.
A rear camber kit is cheap and does amazing things for lowered civics, for grip.