It's the same in my area. Chris Story has drafted a bill that would lock in your taxable value at your purchase price. I don't know if it will go anywhere, but it's nice to see someone pushing solutions.
I am sure he would be willing to share the current version, if you want to pursue this in your area. Here is a link to his blog.
https://www.ilovehomerak.com/blog/the-problem-with-property-taxes-in-alaskaand-the-fair-fix-we-desperately-need