worried

Why would bigger tires make more smoke? Sure there's more tire on the ground when doing a burnout, but it should give you more traction so it should spin less. Less spin = less smoke
Have you tried some soft compound tires.
If I was going to run a leafspring street/strip car, I'd go with Cal tracs and mono leafsprings, then all the traction problems will be solved. Just DON'T use them with super stock springs.