I'm a 2 stroke guru, ive never built a bike/ hot saw but on my bucket list. I'm some what in the know of bike hot saws based on curiosity and interest.
The common in open hot saws are 250 cc moto motors ( Honda Cr & kx Kawasaki) with the trans removed and the Rotax and various other two cylinder snowmobile motors split into single cylinder. The past few years the Rotax's around 330-370 c.f. have dominated. The sled motors are popular due to the power valved exhaust some what contrversual topic.