If you are visiting in June - August go here https://www.airbnb.com/rooms/22828773?s=51
Located in beautiful downtown Palmer, this original colony building, built in the 1930s as the chicken hatchery, is a minute's walk away from quaint restaurants and small town shopping. It's about a 50 minutes from Anchorage.
This is a basement apartment, but you won't mind. With plenty of natural light and modern design, this is not your typical Alaska lodging.