One of my biggest considerations for not installing a generator on board a TT, especially a lightweight one, is NVH - especially the vibration. No matter how soft mounted it is, there will be vibration transmitted thought the frame of he trailer and I don't think I'd like that. Better to have it not mounted on the RV as the NVH would be cut down dramatically. I know that is not what the OP asked about, but I thought that it could be worth mentioning the vibration issue.
I am leaning towards the greener solution as Roy suggested. In the hotter months when AC is a must, I'd just as soon camp in an electrified campsite.