Those PrevenTick collars do, though. A good multi-vitamin isn't a bad idea. But supplementing with additional vitamins can be risky. B6 is another vitamin that you need to be very careful with. Too much can cause neurological problems.
Most puppies outgrow demodetic mange all by themselves as their immune systems mature.
I'm sure that the lotion combined with growing up will be enough to lick the mange. Lavendar oil is available at most health food stores.