I rifle hunt 444 2nd season and have for a decade or more. Also archery hunted it as well. I've spent many a cold, snowy, windy WINDY, rainy, hailing nights in a wall tent - 3rd season will be much the same range. A good backcountry kit for everywhere else will be complimented by your stove and sleep system. I'd say be sure to plan for lots of heavy snow and be thankful when it doesn't come. Although the weather moving in usually brings the animals, at least during 2nd season it does.
My must haves for 3rd season, though not in 444:
Gaiters
Insulated active hunting jacket (Kenai, Uncompahgre, etc)
Long john bottoms
Coffee - good for sitting and glassing ( or chicken flavor broth) + Bourbon
Good waterproof gloves (Northstars from Kuiu or the Grizzly mit from FL)
A good Blaze orange hat (Beanie, warm)
Good Luck!