Chess in Anchorage, Alaska?
Use Meetup.com
Play in a "brewpub" like people used to do a century ago.
Places would love to host chess. I know I would. It would bring in more business.
I don't find it.
Make it.
So other people will find you.
I went on the USCF website and it doesn't look like there are any local tournaments in the near future (nearest one is roughly 148 miles away). I don't know if any of the listed clubs are still running. The best potential chance that you have is a Barnes and Noble, on Northern Lights Blvd, on Tuesdays at the Starbucks from 6-9pm. That was the main spot mentioned on Reddit (The posts were 1-2 years ago). I don't know if they still play there.