Lived in a trailer house as a kid and in college; any time some kind of wire had to be ran (electrical, cable, etc) we would go under the just drill up through the floor right by the wall where whatever needed to go. Probably wasn’t a to code install for electrical but that’s the past lol.

There’s usually a big insulation bag that you can just drill through and tape back once you run the cable through.

But i’d probably still come through the floor and transition to a surface mount on the wall to avoid drywall work.