bds / tuff country / off road design custom or tuff country kits.
rough country / super lift = ride bad and vary stiff.
going from 1/2 ton to true 1 ton get you about 1" so 35-38 will be good with 6" kit. 38" will be on the edge. possible trimming needed.
and the 37" hummer tires are good cheep bang for the buck if you dont mind 16.5 tire/rims.
you have started out right. use the search button here and read / read / and read somemore. tons of correct info and story's on the right and wrong ways to do it.
good luck and ask questions if you dont find what you need.
fyi most people ad 1=2" in the rear on blazer/suburbans for leveling out the ride. as thay sag in the back.