The best combination of tactile sensitivity and adequate warmth will be found in gloves made of high-tech materials such as Thinsulate. You can always try the old arctic outdoorsman’s trick of making a slit lengthwise in the trigger finger pocket of the gloves or mittens, through which you can extend your index finger just long enough to make the shot and then bring the digit back to its warm place if that is necessary. Downside: I found that snow tended to get into the glove through the slit.
When I toured Anchorage, Alaska, in the company of local city and state law enforcement officers, I learned their approach to “deep freeze shooting situations†insofar as gloves. Most, when they were outdoors long enough to have to worry about it, knew that in the Alaska winter the cold would be so savage that they would need substantial, serious-size gloves that could get in the way of manipulating their rifles and shotguns. They learned to fit the gloves just snugly enough to stay in place, but loosely enough that they could be flung clear, or the officer could at least raise the hand, sink his teeth into the end of the glove fingers, and jerk a bare hand clear to operate the gun.
It is always important to keep the finger completely clear of the trigger guard until such time as the decision to immediately and intentionally fire has been made. This is even more starkly necessary in cold weather, where hands numbed by cold or blocked from touch by fabric can start applying pressure to the trigger without the person holding the gun actually feeling it. I know one deer hunter who made a habit of letting his index finger stray to the trigger of his 7mm Magnum Remington Model 700 hunting rifle. One frigid late afternoon in the remote wilds of Utah, his finger rested on that trigger, and began to contract. He didn’t notice it was happening until he was jolted back to reality by the deafening roar of his hunting rifle. Fortunately, nothing but his pride was hurt. Since that accidental discharge, he has become scrupulously careful to keep his finger away from the trigger area until he is certain that the time to fire has come.
There are special “hunter’s mittens†or “shooter’s mittens†designed for Arctic-level cold that have separately articulated finger pockets for the trigger finger. Whatever your handwear, it is critically important that you log some practice time with it on, handling and shooting your firearms. The gun will feel bigger when held in a gloved hand. If your firearm has a very small trigger guard, such as the old Winchester Model 1897 pump shotgun, a glove thick enough to be really warm may also be thick enough to fill the trigger guard to the point where the glove material is putting pressure against the trigger without you realizing it.