LindsaySkiGal, I can't speak for SLC but I can speak for 20 years of skiing and moving to a ski town. It's a change of life -- for the better if skiing is truly your passion. Everyone's eyes lighting up at the slight of a flurry in October was enough to tell me I had a made the right decision. OMG people are *upset* we
only got 4"? (This is EC people... our standards are lower haha) Amazing.
Alta_gal83 has got it right too! Girls are a hot commodity in ski town -- men outnumber us, and girls who rip are in high demand. I know there are a ton of ripchicks out there, but sadly we are outnumbered (did I say sadly?). The single men will find you if you put yourself out there to be conversed with.
There are always people moving to the area for the same reason you are. Talk to guys on the lift! Doesn't hurt to make connections -- it's a small world, you might even end up having common friends. It truly is a chance at recreation of yourself, and how sick is that.
I'm not sure what your career aspirations are, but my network of skiers and riders was instantly created at new-hire orientation at the mountain. Kind of lame-o, but it worked! Even stopping in at a ski shop to pick something up, chances are the people working are just as pumped for the season as you are.
Teton Gravity Research has a nice, healthy population of menfolk (and women) who I'm sure can offer you more into the regions you're looking at if you haven't done so already. And they're happy to talk about the singleness side of it all as well. BEST OF LUCK, whatever move you make I hope you love it