There is no way after price prices will drop. It is impossible without a reduction in wages. The money for all that additional money in workers pockets has to come from somewhere, and since this tax is revenue neutral, the only place it can come from is in higher prices. There is absolutely 100% no way around it.
That's why I said SOME will drop, SOME will rise. The end result would be about the same (before the tax, I mean).