This would basically be a "cabin" back in the woods. No
lights, running water.

Just a wooden shelter only. Heck it might even be a
small wooden shed or Tuff Shed like you'd buy from Home
Depot. Big enough to sleep in and keep some gear

A place to "live: for a 4 week hunting trip

Does that info help?

Pitch a tent.
$400 or so of canvas and rope, cut the sticks on site.