bike rack

Take Dick's advice. Do NOT - under any circumstances, mount one of the U-bolt hitch recievers to a travel trailer bumper. The bumpers are too light weight to handle the torquing that results from bicycles bouncing around on the back of the TT at the end of what amounts to a long lever. You can search this thread (and others) and find many stories of the bumper coming off under these circumstances.

Go to a good welding shop and have them build you a hitch which welded to your frame. Then you can just about pick any bike hitch you want.

How are you going to mount the carrier?