The belt is a no-go. Your frame doesn't splice to let the belt in. Your 10 or 11 speed chain is incompatible with the 7 to 8 speed width of sprockets that come standard with IGH.
I swapped a 7 speed shimano derailleur to 8 speed Sturmey Archer S80 IGH. Cost $280 Hardest part was getting the right length spokes to lace the wheel. Spoke calculators are full of lies, and the dealer niagaracycles.com wouldn't tell me anything, as if 26" MTB wheels were some kind of big mystery. 3 orders later I got the spoke length right, but needed 12 mm nipples (extra length) to make up for spoke unevenness. I left the derailleur takeup on the bike so I wouldn't have to break or splice the chain (which took me 3 afternoons and 2 tools manufactured when I finally wore a chain out). I didn't worry about alignment, and it wasn't a problem.
I seriously dis-recommend the Sturmey Archer S80 IGH. Shifter pawl started popping off every mile starting about mile 500. I had to lay on my back on the ground and use a channl-lock plier to wind up the shifter ring every time it popped off - every mile. With cable loose the hub snapped into 8th speed, which was unrideable on flat ground.
The shimano IGH might be better; I didn't buy one. I bought a 24 speed bike with 8 SRAM sprockets in the back. the S80 slowed me down about 10% over the shimano 7 speed on my 27 mile route, averaged over 6 weeks & 12 trips. At least the IGH axle didn't break as a 6 speed shimano rear did. I weighed an exhorbitant 190 lb in those days. I suppose I was supposed to be age 12 and 90 pounds to ride that DIamondback bike. (I am short). And the S80 axle didn't come unscrewed and drop balls all over the road, as a 7 speed shimano derailleur did. *****y design, the cheap consumer grade shimano 7 speed rear. I had to push the ***** of **** home after the balls fell out. Bike will not fit in wife's car, and besides she works in the daylight hours. As long as I was riding a 7 speed shimano derailleur, I bought a 2nd 3/8"x26 nut, sawed it in two to be thin, and countertorqued the nut to the race in the 7 speed axle to keep it from coming unscrewed again, 20 miles from home. Harder than **** to buy a 3/8"x26 nuts, niagaracycle shipped me some random hex shaped piece of junk 3 times. They refunded my money promptly, but that didn't fix the bike. Now I buy parts from modernbike.com, but they don't support Sturmey-Archer much. I rode a SA 3 speed IGH for thousands of miles on my AMF english racer from 1966 to 1981. Was quite happy with the 3 speed IGH, but only enough speeds for flat Houston or Herington, KS.