By "Zebra" im assuming he means A. striatus but A. hispidus could also be an option. Whatever type of frogfish it is, it's probably not a good idea to house it with another fish. Although some people have luck with keeping frogs with other fish, most don't. Frogs have the amazing ability to ingest prey items larger than themselves, unfortunately they have problems digesting such large meals. Usually once a specimen ingests such a large meal it dies after a few days. However at 1" in length I would be worried of the opposite scenario. All of the tankmates that you listed are predatory fish and would have no problem ingesting such a small fish.
Whatever the case, im going to reccomend keeping the frog by itself for now. Ideally I would even reccomend a smaller aquarium. It is sometimes difficult to care for such a small frog in a cage as large as 37 gallons, and to have only one fish in a 37 kind of sounds like a waste of an aquarium if you ask me. For a 1" frog a 5 or 10 gallon tank would be sufficient.
Ryan