DONT even consider Qatar Airways. Trust me on this.
We're hiring A320 captains here in Vietnam, the only widebody job going is A330 F/O and you'll need to be rated. It's fair to say the A320 roster is a lot harder than the other fleets, and A320 skippers don't actually earn a lot more than widebody F/O's considering they're doing at least twice as much work
Have you looked at Taiwan, China Airlines would obviously bite your hand off to get you into a B737 but EVA and China have both been known to give widebody commands to people with your kind of hours, it's apparently a bit easier going than the mainland base positions ...