I got some hefty hooks at Lowe's tonight...Some of these:
http://www.lowes.com/pd_267964-4688...k&pl=1¤tURL=?Ntt=ladder+hook&facetInfo=
I figure I'll screw a 2x4 to the wall, set the bottom edge of the door on top of the 2x4 and use the hook at the top of the frame. Best of both worlds.