Does the Rift have a removable strap? I think I'd like that bag instead of the wapity but I would like to be able to use it like a wapity as a wristlet and also an accessories case in my purse without a strap. I never get to try on things unless I buy them online or call a store since I'm in the boonies so advice is definitely welcome. For those who own one or both, which bag should I go for? It will be multi, of course!