It all depends upon how you transport a running generator for a travel trailer. If your travel trailer has a hatch where the generator is currently installed, and you currently run the generator from there, then chances are it would be no different than running a generator in a 5er or a motor home.
But, if you have to set your generator on the ground to run it and then plug in your umbilical cord, you may have a problem. Although some say they do it, you could run the generator from the bed of your truck. But it would have to be vented, and you'd have to find a way to plug the TT umbilical cord into the generator. It's not impossible, but it could be done.
But with a generator running in the bed of your truck, you definitely would not want the truck bed to be enclosed and you'd definitely need to be careful not to store anything up against it either when running. Sounds too risky for me.
A carrier on the bumper would work too, provided your trailer bumper was reinforced enough to withstand the weight of a carrier and a generator.
I do not know of any travel trailer that has a compartment for a generator installed, unless your's is different, or has had an after market modification. If this is the case, then yes ... running a generator and an air conditioner in the trailer would probably be no problem when on the road.
