The reason I say this is because the only time I have stumbled across single women, it was because of the wife of a good friend of mine. I've met more single women because of her than I ever have because of my friends group, and I've known them alot longer than I've known her.

That's actually sort of what you should expect. Not from that particular person, but you get to know more girls the more people you get to know in general. If your current social circle doesn't have a lot of single women in their orbit, don't necessarily replace them, but just expand your circle by going out of your way to make friends with new people. You never know what kind of connections will come together.

For example, I talked to this kid at the gym between sets instead of looking at my phone. Turns out he had a big sister and as a result, when she dropped by I was already partially "verified" in her network. I wasn't friendly with him because of that, I didn't even know he had siblings. You don't expect things to pan out most of the time, you just increase your chances with every next person that likes and recognizes you.

The rare man who's good at cold approach in this day and age seems to be more into one night stands than a real relationship. If it happens then great, but I don't think it's realistic.