Off the bat, I wish you the best of luck and diligence will get you there. That having been said, invest in a good resume preparation service known for servicing your niche. I am being self-serving here since I run a Shanghai based English resume editing, LinkedIn profile creation, and interview coaching service. In most cases, working with the right mentor/consultant/whatever you want to call it will cost you a few days and a few hundred dollars max. If the final result is 1) a document that sells you extremely well, 2) interview skills that are well polished leading to a secure FT position with perhaps higher salary than you were targeting, isn't that worth the investment?

Reach out to me with questions at vfulco[@]weisisheng.cn. You were asking about cheap/free services. We do generalized critical resume reviews for ~15USD and full resumes creation/rewrites for between 150-400USD. This is the time to consider working with someone who does them day in and day out. Go for cheap beer (if you want) not cheap professional career services.