I can't tell if Express Scripts Tricare for Life is using the same website as Tricare for active military, but according to their Tricare website
FAQ's, Express Scripts / Tricare will send prescriptions to a temporary address:
"What do I do if I have more than one address?
To add a temporary address with a start and end date or to change an address, sign in to your online account and update your information or call 877.363.1303."
You could try the on-line account option to see if you can enter a temporary address like it says.
We have refilled Walgreens prescriptions at their stores in Alaska, Colorado and Wisconsin. In these cases, we have called the local pharmacy to make sure they can do it with no problems.
Just recently we were able to have our doctor in Ohio call (or e-script?) a new prescription in to a Walgreens in Wisconsin. I was surprised as I thought many states did not allow prescriptions from an out of state doctor, but I guess that is not the case.
Now that 90 day prescriptions for maintenance drugs are common, we don't need to get refills as often and have more of a cushion.