The only frog I could suggest is a White's tree frog. They are docile and easily handled. That said, it doesn't mean they should be handled regularily. Our hands have all sorts of gross stuff on them that can easily harm or kill a frog. Nevermind that even a white's will get stressed if handled too often. There aren't very many other frogs that would be so forgiving though.
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I think my frog owns a megaphone....

White's tree frogs : 1:1:0
Mantella viridis : 1:1:2