I'll assume you've seen your doctor about this. So far I havn't had the problems you're dealing with but I guess it's just a matter of time.

I'm guessing that the finger that's really giving you trouble is the C on the A string. If so I'd be tempted to just touch the string without any pressure - and mute it. At least you would hear the other strings. Not a good solution - but it's the best I can think of. Listen to your doctor of choice.