I guess that's part of what went on with me for several years. I had that "married vibe", coming from within. I DID date, but it always felt somehow wrong (even though I knew the whole world didn't think it was wrong.) For ME, I had to get the church annulment before I stopped feeling that vibe.
If it helps, go out with friends to have drinks, go to games, have coffee, without any intent, whatsoever, of meeting someone. Pretend like you're the committed dude who is "batching it" for the weekend while your romantic interest is out of town for business... your friends would take you out and keep you busy, but no one would ever suggest (I hope, unless you're in one of those strange group of friends who WANT to break up each other's relationships) that you should go chasing after any skirt you met.
Don't sit around the house until you're ready to date, but consider NOT being that stereotypical newly divorced lounge lizard on the prowl... go to the lounges if you want, but don't even think of doing anything other than enjoying the music and company.
And if you're out & about, when the time comes that you find a woman you enjoy talking to, you'll talk to her a little more and when the time comes for you to have a relationship, it will happen.
It won't happen if you sit around the house and wish you were out & about... and maybe that's waht your friends are pushing you for. They want you out & about. They ALSO probably want to find a substitute girl for you, but you don't have to follow along just because they want that... go out with them, though.