Hard to tell what the wound is without seeing it, if possible post a pic of the whole fish. It may be a secondary infection from parasitic activity in which case an antibiotic may be needed but you will need a QT
dips are useless, especially if placing the fish back into an infested tank. You won't accomplish anything except further stressing an already ailing fish. You should also never handle a fish with your bare hands. It damages the slime coat making it susceptible to more problems. Use rubber gloves or better still a plastic container to corral it into.
As far as the no ick
product goes, I wish you luck. More commonly it doesn't work or at the very least not permanantly.