An idea for an iteration of this (and I don't think this counts as a kitchen sink ):
If the solartoh had a *connector* for a Jolla battery built in, once those become available you could leave it somewhere to charge a second battery, come back when you're low, and swap the batteries round.
Don't know how feasible (or expensive) that'd be. But at least you could avoid the thickness problems with having a built in battery (since the idea would be to have it charge the Jolla's battery when it's attached to the Jolla: you'd only attach a battery directly to TOH when it isn't attached to the phone, so the battery can stick out more or less as much as it likes...)
eta - obviously you'd have to think of a clever way to keep the battery attached to the connector. But I could see it being possible... a velcro strap or something.