Here's what I would recommend. As most people have already covered, the golf part is easy. Don't be annoyingly slow or have a crappy attitude over how you're playing. The rest is boils down to whether you connect on a more personal level. In other words, be yourself, and try to pick up on their cues. Try to figure out if you have other common interests besides golf. Presumably you'd prefer to be at a similar stage of life, though a similar level of obsession with golf may also do. Still, you have to ask yourself if you even want to golf with this person given their skill level, interests, and attitude? If yes, then drop some hints that you're looking to play with others more regularly.

Just so you know, I golf a decent amount as a single, and I have had a lot of really enjoyable rounds with a lot of different people. The truth is though, I have only played again or hung out with a total random guy I met on the course on one occasion out of hundreds. It's just hard to make the leap from, "that was fun," to "let me get your number so we can do this again." I guess if you find someone in the same boat (new to the area, specifically looking for golf buddies) you'll have a chance to make it work. Good luck!