I also have reynaud's syndrome and a failed attempt at nifedipine. For running I prefer asics performance gloves. They are similar to softshell on the back of the hand and thin stretchy material in the palm. They are windproof, but my hands don't overheat. They have lasted 2 winters and many washing machine cycles. When it is really cold, I still prefer these to wool or fleece gloves as they are more windproof. I then wear tops with thumb-loops on top, and/or thin merino liners underneath. If you cannot find those, I am sure there are other thin softshell gloves available.
Personally I hate thick, heavy, stiff winter gloves. They are difficult to wash and dry, and I find my hands don't move well in them and they get colder. Cycling and walking, I've gone for a layering system. I've got gore-tex overmittens from Extremities, using silk or merino liners as a base and fleece or wool as a midlayer when necessary. Sounds a little technical, but it means I can vary according to weather and activity, all layers can easily be dried (particularly important when camping) and I don't end up feeling like I've got boots on my hands.