Thanks for taking one for team USA. We owe you a lot for your service and wounds. I hope your recovery is complete.
There's a great app called Sports Regs if you have an IPhone. The app is free and it'll cost you $5 or something to download the WA regs. Then, you put in the game you're hunting and it gives you all the details for where you're standing at the moment - takes out all the guesswork. If you're hunting somewhere else, you just find it on the map and it'll tell you everything for the animal you choose, and has all of the available animals for that GMU. It gives weapon restrictions, antler restrictions, season dates, everything. I suggest you get it.
I'm a bow hunter, so deer and elk is out. But if you want to come down later in the season, we can try to call in some coyotes or bear fairly nearby. Vantucky is about 1.5 hours south of JBLM. There's a great range down here, but I suspect you have a few of those on base. Good luck and let me know what you need.