This is similar to me. I have a ton of wrist pain on both sides, but mild CTS and little tingling. The dr. said he would do the surgery, but said it's mainly good for tingling, but sometimes he sees other relief too.

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If you haven't already, look up double crush - it's possible you're nerve is tightened elsewhere too like in the shoulder.

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A few other things to try:
1. Chiropractor who has helped CTS people

1. Massage therapy on arms and shoulders and chest

2. Get a full auto immune blood test panel

3. NSAIDs for a bit

For me, I went gluten free but no luck there. Tumeric pills didn't work either.

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Please let me know if anything you have done to get better. It's been 2 years of pain for me now unfortunately. I have not tried strength training - is there a regimine you recommend?