This is a very tough question to answer, particuarly as my suggestion would provoke an outcry from some parts of the pprune community - "buy your own job??!!" I think a heavy jet TR like the 737 won't help u that much without getting some actual time and while there are some FO programs out there, they are hugely expensive and you'll be labeled a traitor to the cause!
If age isn't a consideration, why not think about somthing smaller, any turbine or light jet ratings would put you in a good position if you know of operators that might hire low time guys.
I'd have thought a quality ATP like the Austrialian one would open some doors for you but maybe I'm mistaken. Maybe it's just flight time that matter and not the country of license issue.
I'm seriously thinking of doing a TR AND buying some FO time - different strokes for different folks!
Good luck.