Auction, auction, auction - but not with fees, with salaries. Set a cap on number of entrants, and then "auction" the slots. Adjust the cap on entrants annually. No showing of specific market need required, or educational background of the applicant. Just criminal background and health checks on the applicant. The bid is the (gross) pay of the role with a minimum commit of 36 months. Winning bids are paid to the empl…
So perhaps I own a factory or two in the Republic of Elsewhere. I think it prudent to get one of my kids over to the USA. I call up a tech company in the US and make the following offer: you hire my kid, I'll pay the salary and enough over that to hire somebody to do that job, and a generous sweetener above that.
In practice, I suppose somebody with that kind of money has other options. Still the proposal seems open to abuse.