not trying to be the thread bad guy here but i have tape in all my tubs and never had a problem with it getting stuck to my animals. i use the aluminium tape that we all use for flexwatt and that stuff sticks to the tub with such sticky force that even i have to work to take it off when it needs replacing.
i will agree though with everyone else that tape in the enclosure can be dangerous so dont do as i do, do what you need to...