If it were me? I'd 'paint' the hand with Iodine at least once a day.
I broke a bone in my baby toe. I KNEW it broke because I smashed it twice and the pain was unbelievable, but admittedly, I never had it x-rayed because all they do for baby toes is tape them to the next toe, anyway.
So I painted my baby toe. It took care of the PAIN almost immediately. I painted it twice the first day, and once a day after that, if memory serves correctly.
Had no problem with it inside a week, again, if memory serves.
The hand is different, of course. But I believe 100% that the Iodine will speed the healing process.
I can't remember what Iodine I used, but I think I posted about it, so a search at this site may find my original post - for now I must go...