This is highly illegal. Don't do this. Don't go through all these shady "consulting" sweat shops. My suggestion is to look for jobs at non-profit institutions such as national labs, hospitals/medical centers (Mayo Clinic etc.)/university medical centers, universities (all state universities), university owned research labs (like ARUP etc.). They will sponsor your H1B (Non-Profit) which has NO quota. Search for more on this.(There's H1B Profit and H1B Non-Profit)
If you're really that desperate, search for jobs at the above entities that are based in the mid-west and south. They need a lot of smart people but not everyone's willing to move to their shitty place. Your immediate goal is to survive in the States as a legal non-resident so don't be too picky on Alabama and the bible belt.