Slowstream,
Perhaps Asia is too difficult for many Europeans. If I were you I would definitely look to the Middle East as well - two big UAE carriers and Qatar Airways would probably appreciate your Airbus experience. I'd focus first on the UAE carriers and then Qatar if those don't work out. No doubt you would get ample opportunity to fly to Asia if you started on a widebody at one of those carriers.
Not getting picked up by an Asian carrier could be the best thing that happens to you if you find a better opportunity.
Good luck!