I hear ya. I'm a single female who does happen to like Bingo but they don't have Bingo around here much anymore. And even when they did have Bingo (around here anyway) it was supposed to be conducted with very little talking except for the caller; a friend went with other friends to Bingo once and got scolded for talking too much. ("Shhhh! We're trying to concentrate on the game!" they told her.)
But like you, I'm not religious. I've been told (by a psychiatrist!) to go to church anyway if I wanted socialization, sigh. But being an atheist, I don't believe in the supernatural at all, so talk like that bores me to tears. So I should go be around people once a week who I know for a fact are going to bore me? Why should I put myself through that?
And I'm not completely disabled but I no longer drive and there's no where around here to walk to. And like I told that psychiatrist, even if you do drive or can take an Uber, there are no gathering places in this whole area other than churches or bars so really limited chances to socialize at all let alone make friends. She looked startled when I told her that and said, "Huh! You know, I hadn't thought about that! You're right: if there are really no people around to socialize with, it is really hard to socialize, isn't it?" (Duh, lady.)
You know, I'm on a few sites that have some young people on them, and whenever I get a chance, I've told these young people to, if possible, not strand themselves in a rural area. They might like it while they're still working, but once they become retired and elderly, it'll be lonely and inconvenient. Unless they come from one of those rapidly-disappearing, old-fashioned, big happy all-stay-in-the-same-town-forever, families, but let's face it: there are fewer and fewer families like that.