If there are blow dryers in the lavatory you are home free, just have to pretend you are drying your hands for an elaborate amount of time while on your tippy toes. If there are paper towels you need to be a little more strategic. Have a paper towel in each hand and try to get to your desk as fast as possible. If you do encounter anybody on way to said desk make eye contact to the fullest extent, if you do see their eyes start to lower towards the neon sign quickly fake a sneeze while covering your mouth with one paper towel and the neon sign with the other.
This desperate situation almost ruined my career so I took a fake cac while thinking of blueprints and this is the best I came up with. It works to perfection 100% half the time.