LAST EDITED ON May-30-17 AT 09:30AM (MST)[p]To build on what Califelkslayer advised...
I've been obtaining points in most western states for a long time, both for myself and my son, who is now 29. I've been putting hin in for points since he was 10 years old. So far, he has drawn in Arizona a late season Kaibab tag and shot a 188" buck; 2 early muzzleloader bull tags and killed a 334" bull (his first elk at 16 years old) and a 361" bull. He's also drawn a Nevada pronghorn tag (shot an average buck), California pronghorn tag (15 1/2" buck), CA Doyle muzzleloader tag (31 1/2" buck) and a Utah youth bull tag where he passed up a 310" class bull and came home empty.
Over the last 5 or 6 years I've drawn Nevada elk, Arizona strip buck, Arizona pronghorn, CA Doyle Muzzleloader buck, and this year drew Nevada pronghorn in what I consider the best trophy quality unit in the state, along with a cow elk tag in a unit group I want to explore for its deer hunting potential.
We always apply separately. That way, if either of us draws, we both get to go hunting.
In the next 5-7 years, my son will probably draw AZ pronghorn, WY moose (he has enough points now to draw any moose tag in state, just waiting for a year when he can maximize his opportunity, vacation-wise), he should also draw UT elk. We both will draw WY sheep, elk, deer, pronghorn. He will draw several Nevada tags for everything except pronghorn as he has 15 points for everything else. I should draw Nevada deer and eventually a sheep tag since I'm sitting on 20 points.
As an aspiring sheep hunter, going into next season my son will have 19 WY points, 22 AZ points, 16 Nevada points for both. He's only 29, so by the time he is in his forties he'll most likely have both rocky and desert bighorn rams.
We have more points in other states but I think you understand what I'm saying about a long term commitment to building points in the states in the states you want to hunt. If you stick with it for all the species you want to hunt in the states you're interested in, you'll eventually draw lots of great tags and have some wonderful hunts.