There is an after-market rack that mounts on the A-frame and provides a space above the propane tanks to mount a generator. I've seen a couple in service and they seem to support the generator weight fairly well.
Keep in mind that travel trailers, for the most part, are not designed to provide space or fuel tanks for a permanently installed generator. The exception to this is some larger toy haulers.
As for your trailer, I'd consider the "bad parts" as well as the "good parts" of generator use. Remember that any generator you install on the trailer frame will transmit the vibration to the inside, so sitting on the sofa may become a "massage in progress" as would trying to sleep with the alarm clock "vibrating on the bedside table"....
Most people who use portable generators wouldn't want them "permanently installed" on their trailer and prefer the ability to locate them "some distance away" to not only eliminate the vibration but to reduce the noise.
Here is a link to the Stromberg Carlson "tongue mount tray": https://www.etrailer.com/RV-Cargo/St...iABEgLN6fD_BwE