If you can do a trampoline-tantrum (a squared up backflip with the handle) you should be able to do a trampoline-whirly. Think about just doing the tantrum, but bring the handle up and get your arm (bicep) across your face as you're beginning the flip. This will put some tension in the rope and will initiate the overhead rotation. No video, sorry, the landlord made me remove my trampoline.
-Steve