Doing a 360 tyre-tap brakeless probably won't work, after the first 180 you have to really pull back to get any distance and I can't imagine that happening without the wheel moving, unless maybe you do it fast enough...
And with the 360s, exaggerate turning your head, it really is the key to it. But I can't really talk, I can only do a proper bunny hop off pretty low stuff.
Here's a good example (except the puncture, but that's the tire's fault