M.N.
I would look up city parks and recreations and see if theres any museums or book clubs that may interest your child. My brother is going on 14 and he enjoys the whole boy scout thing. I don't know if he hurt his dominant hand but there are cooking clubs and art clubs provided by the city. They are usually reasonable.You could make a day out of the zoo, they have free days 5 times a year but I would get there a few minutes before open its a mad house. If he has any friends and you live in a house pitch a tent in the back yard and let them have a sleep over with a few board games.Thats all I can think of and I hope this helps.