I need a place that will ship my rifle back home (out of state) near JBLM-thanks!

You can ship it to yourself out of state.

https://www.atf.gov/resource-center/docs/0501-firearms-top-10-qaspdf/download

6. May I lawfully ship a firearm to myself in a different State?

Any person may ship a firearm to himself or herself in the care of another person in the State where
he or she intends to hunt or engage in any other lawful activity. The package should be addressed to
the owner “in the care of” the out-of-State resident. Upon reaching its destination, persons other than
the owner must not open the package or take possession of the firearm.

UPS, FEDEX, the US Post Office assuming it's legal in your home state.
You can mail firearms to yourself. John Smith, 123 anystreet st, hometown, aa 12345. And labeled "only to be opened by addressee." It's the same thing that many people do when going hunting or to competitions. Mailing them to themselves to their hotel.