#1 is to increase the speed of the input pulley on the hydrostatic transmission, by either making the drive pulley larger or the driven (transmission) pulley smaller. Note that there is a limit, at which point you haven't enough power to spin things that fast. Also, you may find the limits of the transmission, in a rather rude way. That will get you the biggest gain (short of replacing the transmission with one with higher internal gain.) One other way is to increase the speed of the engine, which is typically limited to 3,600 rpm. There is also a limit to this, but with OHV engines (yours may or may not have it) you can get them to spin a lot faster. You'll need some upgraded internal parts to do so.
I used to know some folks that did tractor pulls with lawn tractors; some cost more than my car.