I use pantyliners, which do help. I also sink wash (with hotel shampoo). Check out Travel Fashion Girl's blog for how to sink wash perfectly every single time. Here's the secret to sink washing -- I bring my prettiest, frilliest undies when I travel. Those are the easiest to wash and the fastest to dry. Yes, I know -- TMI.
Bras stay clean as long as you rotate them during your trip. On a two month trip, you probably won't have to wash your bras more than once. Again, sink wash, hang dry.