I would bring some sticks with you as you just don't know what you are going to find. I would avoid buying anything advertised as Cuban as it's likely to be fake. You would be better off trying really local stuff that is not exported, as you just don't know if any big name stuff is legit.
Also, I think it would be a real trek to get any Padron's in the DR. I believe that they are Nicaraguan. Having said that, Padron's are so fantastic it might be worth a trip to their factory