Not sure what your MOS is. Some of these will not be available to you.
Top IN NO ORDER US Hunting Army installations:
1. White Sands Missile Range (very limited number of active duty) oryx, deer, bighorns, peccaries.
2. Fort Bliss Texas (hunting on the New Mexico side of the range and the Texas side of the range), NM pays nonresident New Mexico rates. But you can live in Las Cruces and commute 30 miles. Oryx, deer, Barbary sheep
3. JBER, Anchorage AK can hunt on base and in the area. moose and grizzly
4. Wainright, Fairbanks AK can hunt on base and in the area.
5. Fort Greely, Delta Junction, AK can not hunt on base can hunt under very privileged subsistence rules the area.
6. Fort Carson, can hunt elk and bears on base. Close to Wyoming for non-resident antelope.
7. Fort Huachuca, AZ can hunt on base for deer and peccaries.
8. Fort Drum has hunt, not sure what the quality is like.
9. For McCoy in Wisconsin, not sure how many active duty are there awesome hunting.
10. For Campbell KY hunt on base
11 Fort Knox, KY hunt on base.
12. Fort Hood. TX hunt on base for deer, hogs and exotics.
13. Leavenworth, can hunt on base.
14. Fort Sill, OK. Elk and deer on base.
15. Fort Riley has elk and deer on base
Less desirable locations:
Fort Irwin, good shooting range and a horse farm but no hunting
McCalister, OK. great hunting but low odds of getting a tag.
Some other poor options out there.
Overseas Germany.
Any choice is good in Germany, take the German hunting class on base for $250, buy a hunting license for 180$ per 3 years and pay for your insurance for $150 for 3 years. Then find a revier to hunt and pay. Or just get invited as a junior enlisted. Hunting community in Germany is huge for military. Hit me with a PM. I am with defense in Germany.
1. Hohenfels (the best) stag and wild boar on base
2. Grafenwohr stag and wild boar on base
3. Villseck close to Hohfenfels and Graf
4. Baumholder has hunting, but isn't always released to the troops
5. Kaiserslautern, has the most mature hunting program but no land
6. Stuttgart closest to the Alps and Austria
7. Ansbach good in Bavaria.
8. Garmisch is the best quality of life, but hunting is expensive and far away. I don't know how you would take the hunting course here.
You can not hunt in Italy as part of the status of forces agreement, and you cannot get a hunting license or own a firearm.
Luxemburg and Belgium would be the same.
No hunting in Korea.
Japan has hunting, but the Army bases are not near it. The USMC, Navy and Air Force bases are thou
Send me a PM if you have questions. 20 years on active and 11 as a DOD.