There's no problem with collecting a large amount of non-resident fees, while limiting NR licenses. But they key ingredient is that you're deer hunting has to be good.

Example is Iowa, with arguably the best managed and most abundant deer herd in the USA. And the most highly-desired NR deer hunting license in the country. They offer only 6000 deer licenses per year to non-residents. The demand is much greater than the supply. They charge 551.00 total if you draw. Plus the cost, on average, of about 2 years worth of preference points per successful applicant, at 52.00 per year. For a total of 655.00 per license.

So with only 6000 licenses issued, they collect about $4 million. From non-residents only. Unlikely to work here though. It's no secret that their deer hunting is dramatically better than our's, because their hunters, in cooperation with their DNR, have chosen to make it so.