You'd probably get more knowledgeable people commenting by posting in the "Tree Frogs" section. Mods, can this be moved?

Some things stick out to me: 90 degrees is a bit high. Consider a fan. Also, sitting in the water dish all the time and appearing to be shedding all the time sounds like a symptom of some kind of skin infection, especially if the shedding is patchy and incomplete. That can be serious because that's how frogs breathe. (Of course it could just be sitting in the bowl all the time because it's hot.) I'd suggest having a vet check it if you have the funds or inclination.

Over in the Tree Frogs section there's a questionnaire for people whose frogs seem sick. It looks like you've answered a lot of questions on it already, but there may be some more that could help people narrow things down.