If you're asking for the "best" performance on the street, strip, and track, you're already asking for a compromise mix, so you need to balance your desires accordingly. If you want the "best" tire for autocross it's going to be different than the "best" tire for the road course, and they're both going to be different than the "best" tire for the drag strip, and only you know what you mean by "best" tire on the street.
I'd second the mention of the BFG g-Force tires. I have these and use them on the street and on road courses. The set on the car now has seen about 5 track events and are still holding up very well. I've been *trying* to burn them off at the track and it's incredible how long they're wearing. Despite being performance street tires when they're warmed up they're tacky to the touch like full race tires.
And they're great in the rain (I have KDWS on right now and want to switch to KDW, KDs are even better but not available to fit the slicers). My last track event was in the rain and they were amazing.
If you want to use them up so that they're bare at the end of the summer, get a full race or autocross tire, depending on what you really want. They'll have the most grip, but you need a different tire (race/autocross/drag) depending on whether you want them grippy cold or warmed up, etc. As usual, there are engineering tradeoffs to make if you really want the "best" in a particular application.