As a proof of concept two counter rotating wings could be enough.
Theoretically if human could power airplane why not small helicopter. (?) We could generate 700W of power for an extended time.
That is pity. $250,000 prize money gone

I was sure my catamaran could fly

As for my catamaran I tough one day that having hovercraft capability could be quite convenient on Gold Coast. I recently (last weekend) stack on the sand bar in 10 cm deep water but because whole thing is extremely light ( 120 kg) there wasn't big problem to drag it over sand bar to another side.
There are still some money waiting for us : Kremer prize for human powered flight
There are currently three Kremer Prizes that have not yet been awarded, for a total of ?150,000.
26 mile Marathon course in under an hour (?50,000),
Sporting aircraft challenge stressing maneuverability (?100,000),