mounting a portable gen in a gen housing on TH - why not?

Thanks SoCal but I want to be able to run the unit it while driving. I'm just going to keep in the bed of my truck - I have a hard roll top cover and it fits under it so I can lock it up when needed. I think I will do the exhaust stub with about 12" of flex hose to divert some of the hot exhaust above the tail gate.