I've got to stop reading about these things or else I'll be spending all of my time and money traveling.
Exodus Travel offers a mountain biking excursion which follows the path of Lawrence of Arabia and several historic trading routes in Jordan from the Dead Sea to the Red Sea. The tour includes camping out in T.E. Lawrence's former headquarters; floating in the Dead Sea; snorkling in the Red; and biking through the magnificent canyon city of Petra.
From National Geographic:
Starting in the capital of 'Amma¯n, cyclists wend their way south past carefully restored sixth-century Byzantine mosaics and 2,631-foot (802-meter) Mount Nebo, believed to be Moses' burial site, before cruising down to the Dead Sea. After pausing for a dip in the sea's buoyant waters, the tour continues along its eastern shore toward the startling canyon city of Petra, the Arab capital in Hellenistic and Roman times that was more recently featured in Indiana Jones and the Last Crusade. Often called the eighth wonder of the world, Petra was carved directly from rusty red-and-yellow sandstone and boasts intricate houses, tombs, and a centerpiece treasury. From there, the journey heads south toward Al 'Aqabah and, after a long day of biking to Wa¯dı¯ Rum, ends with a night under the stars in a desert camp flanked by the dry river bed's signature soaring cliffs.