I doubt you'll find any bingo to play in Seattle. (If you do, let me know.) Even the flipper game spots skew heavily to the later solid state titles. Few have EM flipper games. Here is a slender lead: there may be a Turf King at Pier 86. I've wanted to check it out but don't often go downtown. The owner appears to be on the pier so the game may be as well. It's not bingo but it's Bally's gambling format throughout the 1940s and the ancestor of the bingo game. Please post back if you go to see the game. It's been on Craigslist before at a higher price.

seattle.craigslist.org link