If you won't use them on the street then put a full slick on it. I run a slick on the rear and radials on the front at the track with no issues. I wouldn't worry about it.
Yeah, I can get a cheap set of Mickey Thompson 28.0 x 9-15 ET Drag Slick's - MTBL3054 and I've got radials 185/85/15's on the front and have heard that you should never run a a slick with a radial on front as it's not safe...