HondaFIA,
While the Asian airlines are going through what can be called a period of massive expansion, they're not short of pilots at the beginning of their careers.
Keep at it and keep building your time. Your're not that far from having the mins to apply to some of the US regional carriers.
I got the call from CAL with 4000TT and 2000Jet but after a thorough review of everything I'd learnt here and talking to a few guys who had experience of them, decided not to go for it. I did however feel a moment of regret when I lined up next to a CAL Cargo 744 last week in KORD but it didn't last long.
Good luck with the flying.