You're not looking hard enough. Most clubs have a range of paces and goals. Don't be intimidated, show up and ask questions.
I've been in a few clubs and yeah, some are super competitive. But that doesn't mean they're all like that. You just gotta find the right vibe. Look for clubs that mention 'ocial runs' or 'ecreational' - they're out there. Don't be discouraged, it's worth a shot. You might be surprised by the camaraderie and support you get from like-minded runners.