It will limit the research you can do in the field, yes, but there are plenty of other options. You can still work with cell lines, cultures, and mouse "products" (tissues, blood, etc.). Usually the urine, saliva, and skin/fur are the major antigenic substances from mice, so as long as you don't contact any live or intact animals, you should be okay. You should be wearing PPE anyway to protect you from what you're working with, regardless of the source.