I can use a Microsoft 6000 bluetooth travel keyboard with my iPad 2 so the problem you're having is not with Apple. You might take a look at some of the reviews for the iPaq bluetooth keyboard on Amazon. I've never used one but it does seem to have some "quirks" that might help you diagnose the problems you're having.
Thank you. I am thinking of the Logitech Keyboard, since it also doubles as a protective cover. I had thought to try the iPaq one I have first. Just kind of amazed it didn't work... Oh well. Thanks for quick response!