I am new to hunting but I have been an outdoor guide dog sledding and backpacking in the winters for five years. Cold camping in November is often wet with no escape from the damp rain or snow, or both. I get cold hands all the time, or perhaps I should say, my cold hands often need to be rewarmed.
What works best for me is an awesome pair of gor-tex mitts with liners accompanied, by several pairs of cheap wool stretchy gloves, and a pair of deer hide work gloves. I wear the wool gloves inside the mitts and work gloves. The mitts come off when I need dexterity or am going to get my hands wet and dirty. As the cheap stretchy gloves get wet I switch them out for a dry pair then put them in a cargo pocket. I never put the wet gloves into the mitts. Depending on the material of your pants the gloves may be able to dry in your pocket if your wearing wool or synthetic pants covered by breathable rain pants. Your body heat will help remove some of the moisture as it is wicked away by your clothing. When my hands get to that point where they ache and feel like they will never get warm I stick em in my mitts for a while. Different days I use different mitt / glove combos. The reality is, eventually my hands are cold and wet if I am am outside for a day in the rain. So, I make sure that I have some way of rewarming my hands in dry, warm mitts. I always keep my super warm mitts super dry. I put them on when it is necessary and when I can keep them relatively protected from the rain or snow and and I then put the gloves back on and go back to what I was doing with my mitts tucked under my raincoat safely in my pack (also water proof when necessary). Having this magical dry pair of mitts makes a huge difference for me mentally as well. Suffering in the cold and wet is easier when you know you are capable of helping yourself when you choose to. Also, I have had to stop looking at what other people do because I have worse circulation than they do or something. My co-guides rarely needed to take the measures I did to keep their hands warm or they were simply more willing to suffer. I do what works best for me and try different methods.
There are some pretty awesome products out there for ice climbing if you want to spend the money. There are "work gloves" for ice climbers with leather palms. Outdoor Research has what they call an "Infinite Guarantee." They replaced my gortex jacket after I ripped it dragging a pine tree to my my campsite for fire wood after wearing the jacket for several years of adventures. You can buy their stuff online or at camping stores like MEC. It still sucks when you wear a whole in nice gear though.
Army surplus offers many different options which are cheap and durable. The common option here is leather work gloves with wool inserts. Just check the inserts before you buy them because they can be different sizes. Also, the cheap wool mitt liners at army surplus are far warmer than they look.
Hope this helps.
