Like 1000 says, you can use a second line to extend your anchor back from the lip of the ridge.
If you have a partner willing to put up with it, you could have them lower simultaneously off the other side and function as a counterweight. You should both be close to the same weight, and have a foolproof communication system worked out. Radios are good until someone drops one... Obviously both climbers need to be in a secure position before the other unweights the rope. Rock climbers call this simul rapping and use it to descend from spires which have no other anchors. Mountaineers will sometimes rope up and attempt to straddle a cornissed ridge as they climb in the hope of a similar outcome if the corniss blows.
Keep in mind that the repetitive action of jugging back up the line could well be harder on the anchor than a smoothly executed rapell.
And whatever you do, don't take my advice!