No "Slick" is going to handle worth a crap. A traditional slick is made of a bias ply material and does not utilize a radial casing. They'll skate all over the place if you try going anywhere but a strait line with them and even then they can be a handful.
You're going to want to look into a drag radial. In which case Nitto's are said to be quite good all the way around, although the can be finicky to launch, since they don't display the traction characteristics of some of the other brands (BFGoodrich, Mickey Thompson, Hoosier, etc).
In any case, I would recommend no drag radial, bias ply, etc tire on anything but clean, dry pavement. You're asking for trouble trying to push a car into or out of the corners on a set otherwise.