Hi ribit,
Be sure the Neosporin ( or any topical antibiotic) is WITHOUT pain reliever !

Good luck with him
There is a vet you could email:
http://www.frogforum.net/tree-frogs/...-prepared.html
Dr Frye's fee is for the medication he prescribes - only
He may have a better solution for broken skin near the mouth and eye.
http://www.frogforum.net/tree-frogs/...-supplies.html

It is very kind of you to do this !

BRAVO ! and welcome to Frog Forum