I would suggest alternating between Nizoral shampoo, neem shampoo, and Neutrogena Clean (green formula) shampoo. You can try a dilute vinegar rinse before a final cold rinse to also dry this up and clean up your scalp. do that once a week or so with white vinegar.
Sensitization to Bacitracin/Neomycin are common. Also unless there is a secondary bacterial infection, Seborrheic dermatitis is more related to yeast type of organisms which do not respond to anti bacterials.