Hi,
I echo all the above, my dh and I always carry bags... I just put the strap over my wrist and shove it between my feet. Have never had any problem and have taken bags onto rock and roller coaster, everest and everything else I think.
I worry about losing my glasses, and usually end up taking them off, although i did wear them on the r&r coaster last time (with a hand close to them in case they flew...) and the ride is totally different when you can see where you're going - lol