I have mild Raynaud’s and have used a pair of mid-range Aliexpress electric gloves which seem to help in very cold conditions. I find the problem is that there is a tipping point where my circulation just stops, and I can’t get my hands warmed up again once that happens. The battery life is not long enough to use the electric gloves continually at high power for a long run, but using medium at critical points helps provide enough heat to keep my circulation going.
I did get a set of pogies a few years ago, and have never really tried them properly, so I really need to do that this winter.
The comment about getting wet is important, so my latest experiment is layering up with these Showa 281 Japanese fisherman’s gloves as an outer layer:
https://www.dortechdirect.co.uk/catalog/product/view/id/14220.html
I saw someone using them on a bikepacking video, and then found out that they are very popular with ice climbers. There is also a Showa 282, with a fleecy lining, but one of the outdoor reviews I read suggest this is not very durable, so I am trying the 281s.
Review by a hiker here:
https://andrewskurka.com/review-showa-281-gloves-temres/
They claim to be waterproof and breathable, and one advantage I can see over most so-called waterproof gloves is that they are seamless. I tried them on a sub zero run last night, worn over the top of conventional bike gloves and they worked well. I am using the XXL size, which I would recommend if you have big hands and are putting them over the top of other gloves.
Only £8 a pair, so worth a punt!