Sounds like fun. Your 60's are not going to be good with a radial. Stick cars hit the tire too hard and the wall on a radial is too stiff. If you call MT, GY, or Hoosier they will all tell you not to run drag radials with stick cars.
A bias ply slick would be a good choice but remember you dont want to get a dead hook or you'll break stuff. Somewhere you need some give because the static pressure of your clutch is high applying the entire weight of the driveline on the tire hit. 833's are stout transmissions no doubt but running a stick is a balance between "some" tire spin, or "some" clutch spin. If you are going to street and strip the car then just get a pair of slicks and beat the daylights out of em' and have fun.
heres a good site too for more info.
www.umtrnorth.com
Good luck, cant wait to see some video.:cheers: