Hi Al & Missy!
I'm not sure exactly what you are needing.....but, might take a look at the suction cup hooks for Christmas wreaths that I posted about on the Small Space Living thread in the Class B Motorhomes forum. I have found these at WalMart and at Michaels. They hold up to 25 lbs, and do a great job,
These are pretty amazingly strong, for $2 or so, and you can mount them on any smooth surface, not requiring a permanent fixture. They are also clear, so not terribly obvious.
I'm thinking one of these, wherever is appropriate...above or behind your door.... and one of those miniature bungee cords, from the door to the hook??
Just a thought. Good luck.
Maggie
On edit: this is what the ones I got from WalMart look like, and their hook swivels to lay flat. The ones I got a month or so ago at Michaels are very similar, but the hook is smaller, thicker, and does not swivel.