I’m also going mule deer and elk hunting this year. I’ll be backpacking in Nevada’s Jarbige Wilderness  at 8,000 to 9,000 ft. in early October. At that latitude and altitude anything could happen weather wise. My boots are relatively light Merrill GTX Moab Mid boots. On days with above freezing temps I’ll wear Thorlo Hiker socks.
Below freezing or in cold rain I’ll wear a thin polypro liner sock under thin closed cell neoprene diver’s sox which I have seam sealed. (Currently I use US Diver’s brand sox) The diver’s sox act both as a VBL and a very warm sock that will never wet through. Being a few extra pair of thin liner sox. The “stank” of the liner socks is bad at the end of the day. Change them for sleeping and the next day you’ll be ready to don your neoprene sox IF you have turned them inside-out and let them dry and stay warm in your sleeping bag overnight. This way you will avoid the agony of freezing toes in the morning. Put your boots inside your tent at one end. Spindrift snow in your boots is not good.
For snow I will use Knee high Gore-Tex gaiters that I’ll carry with me. Gaiters typically add about 15 F. of warmth to boots. That’s been both my XC patrolling and back country skiing experience as well as my hunting experience. At the end of the day, sitting around a campfire, Â if you remove your gaiters your feet will feel the chill.
This combo, GTX mid boots, light liner sox W/neoprene diver’s sox and GTX gaiters is the warmest setup for the weight that I know of and still have walking/scrambling comfort and good traction.
If it will be bitter weather (10 F. or less) I will wear synthetic “felt” pac liners and NEOS overboots. And of course the diver’s sox VBLs to keep the felt pacs dry. Or if I’m backcountry skiing I’ll wear the divers’ sox with my Scarpa T-3 tele ski boots.
(Did I mention I wear diver’s sox in cold weather?;o)