I would use a centrifugal supercharger if it were up to me. Not as efficient as a turbo, but it would be a lot easier to figure out what your exhaust is doing without something doing weird things to your exhaust pressures, temperatures, etc. Besides, the last thing you need on a motocross track is turbo lag.
I think you would still need an expansion chamber, because the function of the expando isn't so much one of back pressure, but of resonance waves. When the exhaust port opens, the escaping gas creates a shockwave that travels through the pipe. When it reaches the diverging cone (start of the chamber) the expansion causes a low-pressure wave to be sent back to the exhaust port, which acts to suck exhaust gases out. But then when the original wave hits the back end of the chamber, it's reflected back to the exhaust port as a high-pressure wave. This acts to keep the fresh air/fuel mix from leaving the cylinder and escaping out the pipe. For a brief period, the flow of exhaust through the exhaust port can actually be reversed by this wave. Unless your turbo would be able to perform both of these functions at the correct timing, I don't see it replacing an expansion chamber.
You are correct that the forced induction would make scavenging happen more quickly and that would lessen the need for the diverging part of the chamber, which is there to assist the flow during scavenging. However, if you're running any sort of boost pressure at all, it's going to scavenge so thoroughly that you'll be blowing tons of air and gas out the pipe before it ever gets a chance to be burned, and that's true of a turbo or a supercharger. So you'd have to very dramatically change your porting, you'd need a completely differently tuned expansion chamber, and I would probably want to see a trapping valve of some sort put on the exhaust port.