I would bet the unravelling is more about the quality of your wraps than the material. (I personally like the Nashbar tape a lot and several/many other BF posters have said same.)
I think the gel stuff is more about the ulnar nerve and dead hand issue than the tennis elbow. That is probably best addressed through bike setup and ride habits. The setup- make sure your handlebars are not too far away (resulting in you reaching for them and, therefore, locking your elbows.) Ride habits- again, riding with elbows bent will do a lot.