Flyers goalies ahead of Hart that aren't NHL regulars that could be that:
Anthony Stolarz - depends on how healthy he returns.
Alex Lyon - if resigned, which looks very likely after his monster Phantoms postseason so far.
Hart is going to get 1-2 seasons in the AHL, barring injury woes like this year and stellar play by him. Flyers have Elliott & Neuvirth under contract for next year, and no longer, one might get moved. Depending on expansion timeline, they may need to sign one of them to an extension for exposure purposes, depending on rules, but neither is along-term answer.