It will probably do ok, bordering on it being a bit too warm for it on average there. I would suggest planting it somewhere fairly shady. A bit of shade would probably encourage it to grow straighter and bush out less as it reaches for the sun but it will also make it grow slower.
Consider white or red mulberry, Osage Orange's tastier cousin. Much better tasting fruit, and it should be very happy in a hardiness zone of 9a or b. Even happier if he can get some cuttings or germinate some seeds from one found locally. I would try to find a good straight one that's so tall you can't reach the upper branches over one that grows more like a bush and clone it. Should be as simple as taking a small limb, scraping off a bit of the bark on the bottom, dip in rooting hormone and stick it in a pot filled with potting soil. It's a very tolerant tree, you could probably just stick the shoot straight into the ground. The Florida humidity will help keep it from drying out while it develops roots, but occasionally misting it would probably make them happy.