I had pretty intense pain in my bow hand, so maybe different but I saw a Physical Therapist who specializes in hand pain.
He treated it as tendinitis and after measuring my hand flexibility and strength, proscribed a series of stretches or exercises. It took about a month but I got rid of all pain in my hand.
When I was rehabbing from triple bypass and walking on a tread mill or just walking, I would repeatedly do these exercises at the same time. Very easy to do and it worked for me.