Climate is one thing, but anyone willing to make large, indoor breeding facilities could get it done in the US.
And there still is Hawaii and the southern most states to consider.
That said, YES, farms help a lot of animals. And these farms don't need to release to the wild to do so, because they avert attention away from wild populations. This has been the situation with crocodiles, though fear still drives illegal pouching. For Asian aros, it's pretty much the same case. Except here, market attention is being directed towards captive-bred, farm raised stocks, so not much attention is being directed to wild-caught populations because these are not anywhere near as beautiful as the farm bred stock.
BTW, most of the appeal comes from these farm-raised animals and not the wild stock. And if anything, all the illegal cases I've seen and the arrests I've heard pertained to someone smuggling Crossback Goldens and Reds.
As far as certificateless aros go, I've also heard a number of "backyard breeders" of Aros as well. They don't have certificates because the guys are just higher than average joes with ponds big enough to consolidate breeding. Again, I'm just pointing out another source for paperless Asians.
To Pressure_Cooker:
Of course you'll have to give it time. About the only problem I've ever heard with getting Asian Aros to breed is that you have to get them to pair up before any breeding starts (Similar behavior is exhibited in Channa). That's exactly why they dump a lot in a pond.
And also, if someone could breed SA or AU Aros in the states, I don't see how they can't do it with Asians.