I personally would have to say this: Wyoming. I shot 4 does this year, and had I done a tad bit more research prior to the app dead line, I probably could have drawn a decent buck tag with zero points. The fish and game website for Wyoming is amazing. They give draw odds for every unit based on preference points. Also, if you are willing to pay a trespass fee, you can hunt the great units in E. Wy where they have up to 1500 any antelope (typically buck tags) available.
With one or two points, you can draw most of the state, some areas require up to 5 points for a non-resident to draw. I also got a letter and phone number for the local game warden who helped put me on some antelope in farmers fields due to depredation. The game wardens and farmers here work hand in hand to help each other out. I have to say, very well managed state and a lot of fun. 3 days of antelope hunting and 4 dead does on private property...I could have tagged out faster but wanted to have assistance from my buddy, GUHunter, who is a resident out here.
Good luck!