Speciality vet for cats

My cat recently started compulsively trying to bite his tail off, he's already gotten several big chunks off the end. I went to best friends animal hospital when it first happened but they don't seem very equipt or know what to do with this case. I am trying lots of things to get him to stop- gabapenten, bandage, cone, thunder jacket... each has its pros and cons. If he gets past the cone or jacket he will try to rip the bandage off and continue biting.

Has anyone had experience with similar issues for cats and/ or do you have a recommendation for a vet that might be better at handling less common issues like this?

Thank you!