What NGFellow said: don't spend money converting type rating.
I'm one of the pre-interviewers. Also a former green card holder, no degree (but ex-mil). Your experience is valuable, no doubt about it. I like to meet big-jet intl experienced candidates (and large corporate).
Here's the rub: I write on the back of your resume that in my considerable experience worldwide you have that unusual character that could be useful to us, and then it goes to Recruitment and then to an outside vendor and we lose all track of you unless the vendor's system spits you out for an interview. It's chaotic, and frustrating. Even a letter of rec from MGMNT won't necessarily work.
So: are you qualified? Yes, but agreed PIC could be issue.
Degree? Not so much an issue for alien candidates, I think. Diff system.
Get to a pre-interview at a job fair.
Good luck.
Yes, you'll be hired by a regional in a heartbeat. Step 1 in residency establishment...