to be honest, if your hands are cold, warm up your core. common misconception is that if your hands or feet are cold you need to warm them up more. no, you need to warm your body up more and your extremities take care of themselves. when you put on an extra layer, it doesnt make you sweat, it'll just warm up your entire body. when you're cold, what's the first thing to feel it? your extremities, cause your body is leeching the heat to keep your core warm.
trust me, put another layer on and your hands will be fine. i wear tiny ass gloves since i love having the mobility in my fingers, but get cold easily, so i just wear an extra layer. does the trick.