Kevin I sent you a PM on your question. While this may sound absolutely shocking to you, ignore the FWD rice burner crowd, listen to Steve
I was running the Nitto NT05 as of late and for price/performance they aren't bad at all. You can drive them dry/wet on the street and have some mild fun with them on the track. Also in that price range and lower is the Firestone Firehawk. I'd take the NT05s.
I put Conti DW on Ann's CTS and they are nice. They aren't as good as PS2s. On a road course the PS2 kicks ass for a street tire. I've driven several different Vettes on track now and would always fall back on PS2 if money was no object. The DW is a good tire for sure. It's worth considering on the Z also. They have the sizes and the price is good.
As I mentioned. Don't shop for 265x40-17 fronts. You'll only get a few hits on any tire site. Use 275x40-17 front. Either run stock 295x35-18 or 305x35-18 on the rear. Stay away from 30 aspect tires on it other than slicks for the track. Leave the stagger alone, you want that stagger.
None of this has anything to do with how it performs on an AX course. I never did well with it on any type of tires. Driving it on a road course is just exhilarating.