Titebond3 WILL set up when wrapped entirely with bike tubes. There is no need to leave spaces between the wraps for the moisture to escape through. Ithink the moisture from the glue is drawn into the wood, but I'm not sure. There could be a chemical process involved as well. When you wrap a glue-up entirely, it may take longer for the bow to fully dry. Leave it clamped/wrapped for at least 24 hours. Then remove the wrappings. You can start working the bow now, but some patches of oozed out glue may still be tacky (which can get onto your tools). I would advice to wait at least a few more hours after unwrapping, so the spilled glue has dried as well. Then you can work the bow, but you must still consider the wood to be moist. So leave it to dry for another 24 hours to get the excess moisture out.
I don't understand why you are concerned about over drying the wood. If the put wood in a heat box to let the epoxy cure, then you are sure the wood will dry out as well. So...? What's the matter? Just leave it outside the heat box for a few days and it will reach EMC again. No need to submerge the bow in water or spritz it with H2O. As long as you don't stress wood that is too high or too low in moisture content, there's nothing to worry about.
I'd personally rely on boo backed ipé for more radical designs. If you see
this picture of a boo backed ipé recurve, you have to admit it can take far more than you'd thought. Hickory is more prone to taking set and high humidity than boo and ipé. I'm not saying hickory will not cope with that design, but I just think a bamboo backing is capable of dealing with more stress.