While this does sound like Reynauds, it could be a number of other conditions. Carpel tunnel or inflammation of the elbow can cause nerve problems as can problems in the neck or shoulder. The exact location of the tingling or numbness will reveal where the nerve is being pinched and if I remember correctly middle finders suggest elbow -median nerve. Run your fingers around your elbows pressing slightly, You may find some tenderness, also you should try sitting on the backs of your hands and rolling your nect. Sit upright and pull your chin in. Tingling or soreness may suggest neck or shoulder problems.
Reynauds often comes with the fingers turning white or blue as the compartment closes down.
There are a few good excerices for this if the problem is nerve related. Let me know how you get on.