There's actually a park down the street with chessboard tables. It's only a 2-minute walk from my house. I've never seen anyone actually playing chess there though.
I like the local club idea. I'll look into that. I found one chess club that meets twice a week in the evenings. It's about a 25-minute drive from me. They have a very minimal website though with no info other than the meeting time and location, so I can't even tell if they're still active:
Clark County Chess Club, Las Vegas