You shouldn't have a problem - you are only going to be here for a couple days. Yes, you might be off diet for those days, but that shouldn't make a difference in the long run. You could bring some shakes/bars to help keep your protein up throughout the day. Hell, I could probably bring you some N-T......think I can spare it? lol
Your hotel *might* have a gym, but it also might charge if it even has a gym.