I'd check with the base MWR to see if it is open to active duty archery deer hunting. That program comes and goes based on the base Commander's desires. Bangor has a large deer population so it might be a relatively easy tag to fill if you had access.
The surrounding areas in 627 have lots of deer, but most of the land is private, so you need to knock on doors or contact the owners by mail/phone for access. Tahuya Forest is all DNR as is much of the area surrounding Gold Mt. south of Bremerton. There's also DNR and Green Diamond lands open on HWY 3 south of Allyn. wdfw.wa.gov website, hunting section, GO HUNT has maps showing public land ownership.
Archery hunting techniques this time of year require that you know where the deer are feeding regularly and sitting on the downwind side of fresh sign, or just going out in the woods close to a well used clearcut and moving so slow that you appear to be motionless as you scan the woods for movement. Slow and quiet, standing more than moving.
Read as many posts as you can using the search funtion on this forum regarding blacktail hunting. You'll soon have a pretty good idea how to get out and feel like you're being productive. It's a tough time of year as the rut is winding down and the deer metabolisms are slowing. They move less and need less food in the winter, so most of their time is spent bedded and hidden. They are out there though, and there still should be a few bucks moving around for a few more weeks.
Have fun. Keep expectations low. Fishing used to be my game too, but once I started hunting, I lost all desire to go fishing.
