Why even implement a bidding system at all?
The auction is a solution to the problem that the cap creates. Remove the cap and you don't need an auction.
H1B visas traditionally have been for skilled labor, under the assumption that these educated workers will help stimulate the economy. This is good as long as the workers don't drive down the wages for citizens working the same jobs, so an immigrant already has to make the same or more than U.S. citizens. Isn't that wage enough to achieve the goal of H1B visas?