Lol John...!
Hoosier, it could be that although your action is not too low, maybe your strings are slack enough in your particular tuning to create whisper-fine vibration noises against the frets once released. Try putting a one-step heavier gauge string on. That would tighten the tension a hair and keep the string from vibrating so freely when you remove your finger. This could completely solve your problem- just a slightly heavier set of strings.
Also- are you fretting and unfretting your fingers at a fairly straight down angle? If you fret from the 'side' (like keyboard typing) then you could be very slightly pulling the string when removing your finger, causing that unnecessary vibration. Check the angle of your fretting fingers here .
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