I have raced my old pump gas Duster on all three types of high traction tires, M/T ET Streets, M/T ET Street Radials and M/T 10.5x31x15W slicks.
On your deal I would NOT try radials with the stick shift in the car
The reason being is once the radials start to spin, if you let the clutch out quickly, they won't recover or catch until you let off
On your deal with the clutch it will be worst than with my old car with a high stall (5200 RPM) 8 inch race converter That car ran 10.00 at 134.+ MPH through the complete three inch exhaust system
The bias ply tires will work a lot better on a stick shift car than any drag radial I have heard of so far, you can bog the motor by finding the RPM needed to let the clutch out without spinning them