Hatchedegg,
If you've only been working out 3 months you might not be too far advanced in strength I assume, so you may be able to get further use out of your resistance bands. If you've got the kind that have 3 different strength ratings, then buy a second pack and use two of the strongest level bands at the same time (you wouldn't be able to do this for all exercises though).
I'd be looking at visiting a gym at least once a week while you're away and complement that with a resistance band day. Obviously two trips to the gym would be even better but if that's not feasible then the bands are good for back work as well as delts and arms. I don't like them for chest or legs. For back, loop 2 bands through a roll of duct tape, throw it over the top or side of the hotel bathroom door, close the door so the tape is on the other side of the door and the bands are anchored in place. Then do seated rows or lat pulldown.
I don't know if you have any scope to choose which hotel you stay at, but some of them have affiliations with nearby gyms. If you could stay in one of those hotels you'd be laughing.