Sleeping in a Dusty room when backpacking

Patient: I have dust allergies. I get an irritated throat and a stuffy nose when sleeping in dusty rooms. It is generally very poor sleep and I end up tired the next day. I try to avoid these kinds of places. But I am a budget backpacker and sometimes hostels are dusty and there is nothing I can do about it. What can I do to ameliorate this situation? Can I use a dust mask?

Symptoms: Stuffy nose, throat irritation, sneezing