I’m just dreaming here so humour me if you like, or don’t, no harm done.
Would it be possible to build an independent and mostly autonomous hardware backbone for the internet using some sort of mesh-like design?
I.e. consider a mesh of nodes that are solar powered with batteries to last the night. You plop those all over the place: your roof, in meadows, on vehicles, bus stops, wherever. They connect to each other wirelessly. They should be cheap and near maintenance free. In case one dies, the mesh should have enough redundancy to compensate while the node is being replaced.

Something like that should be fully independent, net-neutral and accessible by everyone right. Although you will need a rather high density of nodes/people who join, for it to work