if you own them, there is no reason you could not use them at the drags. I ran a pair of Mccreary speedstar dirt track tires street and strip for years, and snapped a 30 spline axle at the track after running 12.5 seconds
If they are a slick it will do the trick I have used roundy round tires at the drag strip many times cause I could not afford Racemasters You just have to heat them up a little more
I know a few guys running treaded American Racer tires (dirt) at the drags and love them.
One is an 11.5@116 Coronet street car with full exhaust, he won't run anything but American Racer.