Blogs sometimes can be special interest blogs in which writing may not be in the traditional form of communication. For example, some blogs are platforms that display art or photography.
Another alternative to blogging without writing is to be a platform that publishes submissions that creative writers, poets, and artists send. If there is an ad sense program and it is properly conveyed to the audience that they will receive no pay, perhaps one can make money from it.
Sometimes a blog has a guest writer who writes interesting and unique content. The guest writers are sometimes hired or sourced from freelancing hubs, such as Upwork, Content Gatherer, or iWriter. The trade, however, is that you have to pay the writers.
Hope this helps!