Finally, one problem with the idea is not that Batman should be thrown up into the air, but rather why he isn't throwing a lot of dust, dirt and soil up into the air, assuming a uniform radiation.
There are of course other pictures that don't seem to be explainable by uniform radiation, so maybe whatever the zebra skin actually is acts as some sort of focusing antenna, and zebra-Bats is throwing a lot more "mystery energy" through his head than through his feet.
That might help him breathe, too, but given the energies involved, also makes it a lot more likely that he'd simply be cooked. On the other hand, apparently the goddamn Batman can breathe in space, and some people think Bruce Wayne is sizzling hot, so maybe that's not such a big obstacle...