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WWU club includes both current students (the majority) and non-students (alumni and others who just happen to live nearby like some high schoolers, etc.). The last weekly club session was last Friday, so most of the students have already gone home or are preparing to, but I'm pretty sure at least a few non-students who live up there will be around to play.
While weeklies (during the academic year) are guaranteed, you can pretty much just post on the group page whenever you're open to others coming to play, or asking if others are available to visit. Probably less active over the summer, but you can almost count on at least one session every other day taking place when the students are around! The scene there is super chill; I just transferred out from WWU lol. Feel free to introduce yourself and get going
EDIT: noticed that the only game you mentioned was Brawl. While the main games are PM/Melee and a bit of S4, and most may not be interested in Brawl, ask around for Daniel (his tag is Felix). He's plays all the games, but he was 1st on the Brawl PR back when we had one. Nobody wants to play him in Brawl, so he'd prob be more than willing to play you regardless of how confident you are aha