Problem Child,
I hunt white-tail deer here in central Iowa where it can be quite cold throughout the season (October 1 through January 10). I have a pair of leather gloves that I hunt in. I generally shoot with fingers and I have found the leather gloves are a good substitute. My hands alternate time in my muffler or inside my bibs.
Because you hunt with a tab, I might recomend you get a pair of fingerless gloves with the mitten cover. These can be had almost anywhere, they will keep your hands quite warm, especially your bow hand, and the cover can be removed with your mouth before drawing.
Best of luck. Brett