In that case, you will be fine, especially if one of the languages you know is Arabic. I doubt that Fulbright will issue a positive statement to your request for a waiver if you apply right now. You have 2 years of study + OPT (usually 18 months for 9 months of study, I do not know if in your case that time will double.)
While studying, start networking with the appropriate government agencies, find one that will write you a support letter for "Interest government agency" waiver and you will get your H1b/GC when the time comes.
GC lottery is an easy way, but your experience will be invaluable once you complete Fulbright.