The Gaza Strip seems very poorly served by the Palestinian Authority, let alone Israel. But, the area has relatively stable borders and it would likely have a stable government in Hamas. So, what if Gaza just declared independence as the government with sole control over the Gaza Strip?
Would Gaza get recognized by other countries? Could it parlay the recognition into forcing a permanent peace with Israel as becoming a recognized country puts Israeli treatment of it into more known sections of international law?
You would need an election to happen, and I don't know if Israel would let one happen.
You think Hamas is going to let a free and uncorrupt election run and risk losing their power and influence?