Looks like we got the Jack Spirko answer on Friday's listener call-in.
To recap for those who may have missed it (or search for this topic at some point in the future)
Option 1 - Land which you don't mind opening up and clearing intermediate cover to let full sun in. Poison Ivy likes shade, and will die in full sun (at least by the second season).
Option 2 - For land you intend to keep in partial or full shade. Cut it to the ground, cover it with sopping wet cardboard, cover that with 3-4 inches of mulch. Then, introduce a competing plant to disadvantage the Poison Ivy. Make little "moon craters" in the mulch 4-6" in diameter to expose the cardboard. Put a one inch hole in the cardboard. Add some compost to the crater and introduce your competing plants. Jack mentioned 3 - Virginia Creeper, Jewel Weed, and English Ivy. Jewel Weed is a great choice, because it also happens to be an effective treatment for poison ivy contact.
Jack also mentioned two "scorched earth" options. Literally. Clear the ground of the stems and leaves of the poison ivy, then take a torch to the root systems you uncover. BE CAREFUL - smoke from poison ivy is bad news. Inhaled, it can cause some severe respiratory reactions requiring hospitalization. Just scorch the roots that are in the ground. The second system of "scorched" earth involved injecting steam into the ground to sterilize and scorch the roots. It is doubly important to have some replacement species ready to plant.
Thoughts on Jack's recommendations?