Concentrate on keeping other parts warm
In Wisconsin, it gets very cold in winter with wind chills sometimes -60 C. In January, it is not unusual to have -15C to -20C. Still, that can't stop you from bicycling, and some areas of your body which may have been injured in the past tend to get cold as you described.
Rather than trying to focus clothing on the cold limb, it is better to try to keep your whole body warm. The warm blood will find it's way to the cold part of your body.
Wear long underwear, a hat, and good wind resistant pants and jacket. It works for me and my friends. I hope it works for you too.