It may cost you as much in yeast as the apple juice cost. You really have to sacrifice many billions of yeast cells (they bind to the sorbate) to have enough "free" yeast to ferment the neutralized juice. In other words, perhaps five or six or even more packs of yeast. You are playing poker with a terrible hand and with opponents who are masters. If this were me I would use your mixture of juice and honey to flavor vodka... Best place to get apple juice is at a farmers' market where the juice comes freshly pressed from a local orchard and which has been UV pasteurized.