My SHO originally came with Michelin MXM4 or something like that. Was a good tire, but not great. Before close to be worn out started making lots of road noise. Purchased F1's as the price was unbeatable. Have been a better tire than the OE Michelins. Have 30K+ miles on them and probably have another 5-10K. That said I've decided to try the Cooper Zeon RS3.
On the Michelin AS3's. I have those on my GT500. I get phenominal traction, 1.8 60fts. I would highly recommend those for performance use.