The climber fell on to crags in Coombs Wood in Armathwaite, Cumbria, mountain rescue volunteers say.
The project aims to bring back the Lowood art gallery near Armathwaite, which closed in 2009.
Ministers are making efforts to tackle growing rural crime but there are calls for more to be done.
Campaigners in Cumbria say the attraction would amount to "rural vandalism".
Two men from Carlisle who were arrested over the allegations in October will face no further action.
The child, aged under 16, was attacked in Armathwaite earlier this month, police say.
