This is actually a pretty terrible idea. You said it yourself that he's rarely on Facebook anyway, so you'd just be posting your location so that every other yahoo out there would know where you were...which could result in your home being invaded.
We've all seen the stories.
I realize that you're grasping at straws here, but coercion and manipulation to get some attention should kind of make you realize that, perhaps, it's just not meant to be. I'm not trying to be the dream murderer or anything, but when you're hoping that by putting all your business out there somebody will bump into you, it might be time to go back to the drawing board.
Or maybe try to find out where he is so that you can bump into him. Clearly you're willing to resort to anything here so you might as well stalk him a little.
[Editor's note: Panama Jackson nor Guyspeak.com condone or encourage stalking in that creepy way.]
Find out where he likely hangs out or whatever and be there. But don't just be there, mkae yourself noticeable so that you can increase your chances of him wanting to talk to you.
Point is, your proposed method seems like a bad idea. So come up with a new one.
Period.
This is one of those irrational ideas we get when we are desprete. Honey, unless he's actually into you he will seek you out. And I doubt he'll use the facebook place finder unless he's stalker tech savy. More than likely he'll ask around for your phone number. Or send you a message himself. If you haven't seen him in awhile and you haven't made your interest in him known, I doubt he'd persue you in this way. In my experience at least.