How quick is pretty quick?
Most stovetop ng burners have a high range of 15,000 - 16,000 Btu and my Charbroil propane grill has a side burner rated at approx. the same. Both can boil that much water within 20-30 minutes. The turkey cooker is probably your best bet for the speed you seek and afterwards it can make a mean deep fried turkey to boot.