I've done Priceline about 3 times, albeit not for a couple of years. The price you name doesn't include taxes, so keep that in mind. The way I always did it was to search on Priceline for the flight, and then see what the cheapest 25% of flights looked like (and remember there is a maximum of 1 stop for name your own price, so discount any 2 stop itineraries that come up). For some reason, Priceline often has flights with ridiculous layovers (like 12 hours), so if a lot of those came up, then I would just forget it and book a normal ticket elsewhere. But if the cheapest 25% of flights had reasonable itineraries, then I would go ahead and do the NYOP. I doubt you'll get 40% savings if it's for Christmas, but you might get 25%?
Otherwise? Check Bing and Kayak. Check different airports and different combinations of departure/return.