You've a couple of problems here with the plane. At such a small wingspan, the plane will probably be very twitchy (sensitive to commands). You'd also have to fit micro servos x 4 (throttle, rudder, elevator and probably ailerons) receiver and battery pack for receiver and motor. The wing loading would be very high, I'd suggest.
Next, you'd have to catapult this small twitchy plane off the ship. If you've ever hand lauched a small powered plane, you'll know the hand launch has to be a smooth, progressive 'let go from the hand' type launch and not a chuck like throwing a paper plane. If you do that (and a catapult launcher almost certainly will!) I can garantee the flight will last about 3 seconds if that! To cap it all off, you have to do this from water!
I really dont think it can be done.