Tire height

I’m currently running a 33/15/15S Mickey Thompson and been having problems with crushing the tire and going into tire shake unless I pull a bunch of power on the hit, it’s a very heavy door car (3800lbs with driver) makes somewhere between 2400-2500 hp and was wanting to try either the big or little bubba but because of the extra height of the tire and the weight of the car just hoping I make enough power to not loose any mph??? What are your thoughts on this? It’s an all steel 65 nova grudge car and I do some no prep racing as well and wouldn’t mind dropping alittle weight but don’t want to sacrifice the car too much?