Id advise against the toyo R888 tires. Those are an R-comp tire that should only be used on the track and not just driven around. Not only will you kill the tires and wear them out extremely quickly, they will be pretty worthless in the rain. The extreme performance tire category is where you should look. The top three are the Dunlop Direzza Z2, Bridgestone RE-11A, or the BF Goodrich Rivals. Take note that the extreme performance category tires are at least a 200 tread wear rating for auto-x rules but they still wear very quickly. Also the are usually almost a size wider than stated. For example my 225 width RE-11A tires are closer to 235.
Info from Toyo:
The Proxes R888 is Toyo's Racetrack & Autocross Only tire for driving enthusiasts participating in road racing, track days and high-performance driving schools. The Proxes R888's advancements in casing and tread design improve dry performance while maintaining wet traction and control.
While Proxes R888 radials meet DOT requirements, they are not recommended for driving in wet conditions when shaved or worn where standing water is present and there is the risk of hydroplaning; drivers should drive cautiously at reduced speeds if they encounter these conditions. And like all Racetrack & Autocross Only tires, Proxes R888 radials are not intended to be driven in near-freezing temperatures, through snow or on ice. It's also essential these tires be stored indoors at temperatures maintained above 15 degrees F.