Yes, keep your rego.
Look in this forum on "Green Card" for insurance.
However, if you need a carnet for the Asia part try organising this in advance. Don't take out the carnet in advance, though, as it only lasts a year, just get the paperwork organised with the CAA, so all you have to do is send them the money and they send you the carnet.
It's easier (and probably a lot cheaper, too) to sell your bike, take up residence in France and buy a bike here. I'm assuming you have family here who will let you use their address...
Salut from Southern France, the bikers' paradise,