One potential opportunity is to check out volunteering (of course that would be a time commitment) at your local aquarium if they have one and if they have an opening in that area. It is a long shot but something you can check into.
Alternately, and with a potentially greater success, post where you are (in your profile you can opt to show a location) and see if any current member are near enough to do a mincon. A slight variation is to check the locations of others and setup a minicon on your way to or from a vacation that takes you in their direction .
First off, WHICH Washington? Secondly, you will probably have to find a member with a current octo to be able to play
Unfortunately the same would be true of our aquarium here (Atlanta) but each one is a little different on how it manages the animals so it never hurts to ask. Have you met the primary keeper? You might have a better chance than you think of at least getting to feed it.