Ooh yes Zooba, I never seem to have enough tissue paper to stuff my "resting" bags with - using towels is such a good idea!
You are not being anal, you are looking after your investment!
I keep mine in their dustbags, in my closet, sitting next to each other on shelves. And the one (-es) currently in use on my desk. I also stuff some of them with bubble plastic or towels to keep the shape (to the utter amusement of my DH.)