hosting could be solved by using third parties, like Dropbox, GDrive, etc.
Actually you can monetize it well. You provide free crawler service (like parsing deep link pages to static ones), users save the content with their private storage provider, and you can sell service to another customer, $5 each at a time for retrieving a dead link
A service to do this would be nice, although I cannot see myself paying for it so not sure how you would monetise.