Alaska Air is a good bet. I've also used Delta Air cargo from Anchorage to SLC.
If you're a TSA known shipper, or can get a shop to vouch for you, FedEx Freight service is super cheap. Only kicker is, you have to ship to a business address. Sid of Sidsports in SLC let us use his shop to ship our gear to.
I've also shipped UPS from California to Anchorage.
Just break it all down, strap it up, throw it on a pallet, and ship away!
Good luck. PM me if you need any help on the Anchorage end.