My first thought also was carpal tunnel. I had surgery for that on both hands in 1990, more because I fit the profile then test results. I'm sure it was MS.

If only part of you hand falls asleep this is what I've learned. If it's the pinky, ring and middle finger it's the nerve at the elbow that may be compressed.

The thumb, index and middle finger indicates the carpal tunnel (wrist). I'd start with the EMG and nerve conduction test to see where you stand.

I'd try the wrist splints in the meantime. Please take care.