Try hunting east of the Mississippi where the vast majority is already private!
If you add up all the federally owned land, 90% of which is west of the Mississippi, it is about 1.3 million square miles, 1/7th of all the land in the U.S. and 10% of all the world's protected land. It would be the 7th largest country in the world after Russia, Canada, U.S., China, Brazil and Australia, the last of which is an entire continent!
Thank God for Teddy Roosevelt, who along with Gifford Pinchot and the early 1900s Congress, basically got it all started.