I live in Colo and my preference is a 4 season tent. If it is decent weather and I am trying to backpack light weight and less bulky I will use the outside fly with a footprint (leave the tent behind). My current 4 season tent weighs slightly over 5 lbs (with footprint) and is bomber-proof. The same tent's fly w/footprint tips the scales at just over 2 lbs.
My fly w/footprint is about as sturdy as many 3 season tents and is as roomy as some 3 person tents due to the extended built-in vestibule area. If you are in your tent for a day or 2 during fowl weather...believe me it is nice to have all the room! There is also plenty of room for you PLUS your bow, pack, and all of your gear.
I couldn't imagine trying to survive 2 or 3 rainy/snowy days...elbo to elbo w/my stinky hunting buddy in some of the dink tents mentioned above!
I have heard rave reviews for the Scarp tents mentioned above. If you like small, super rugged tents they may be just the ticket. If you prefer extra room with bomberproof, super light tents you may want to check out Hilleberg or similar designs. You can likely get by with some of the other tents mentioned above and they are definitely a lot easier on your budget.