How to requeen a queenless hive with no brood just 2 frames of honey and pollen.
2 frames bees take really much time to get hive. If you get a swarm it is much easier raise colony before winter.
If you're sure it's really queenless (i am in the same quandry at the moment with one of my hives) the quickest way would be to purchase a new queen from a reliable source. Do you have any brood available from other hives?
You likely have a virgin queen in the hive who hasn't started laying. But they might be queenless. A frame of eggs and brood is the only way to tell for sure. If they don't start queen cells in a couple of days then they have a queen that isn't laying yet. It takes only 10 or 11 days for them to raise a queen and have her emerge. It takes another two weeks before she starts to lay. By then all the brood has emerged.
http://www.bushfarms.com/beesmath.htm