It has been my experience that more damage occurs removing the bike from a situation like this than from the fall.
Case in point. I dumped my v-strom off a ~40 sheer rock face on Imogene pass (not one of my better moments). I was able to walk away essentially unscathed. When we winched my bike down the side of the mountain it incurred the majority of the damage but there really was not other way to safely extract it. I rode the bike 2,000 miles home but insurance declared it a total loss.
Sometimes you just can't get them out on their wheels. Mine was winched down on its side.
Current bikes:2006 DL650, 2008 WR250R
Past bikes: XT225, TTR125, '04 CRF50 '74 DT125,'70 TS250,'85 v45, '89 zx600c, '78 GS400x, '99 GS500E, '01 GS500E '05 Z750s, '77 GS400e, '82 GS1100ez, '97 GSX600, '07 VFR800, '03 KLR650, '03 FJR1300, '06 DL1000, '00 KLR650, '99 WR360, '08 DL650, '05 DR650, '08 EX650r, '96 CR500, '82 GS450T, '06 Ural