Not really, there was a brief excursion in kludging a ZTE MiFi device to use a DIY NiMh pack of AA cells when it refused to stop self-destructing its OEM LiPo batteries every summer. (I use a MiFi hotspot for a cheap security camera network)
It worked as a stop-gap but I've since replaced it with a GL.Inet X300b ruggedized hotspot without any batteries.
There's no UPS for now... if I went the route of wanting uninterrupted power at the property I'd probably put a battery bank underground outside to power the entire building. It's not worth risking anything rechargeable inside the place given how hot it can get, and how long I sometimes go without visiting.
I'm not sure how generally applicable it is. When you have several acres of undeveloped land full of sand at your disposal it's relatively trivial to dig a pit, mix some concrete from the sand you excavated, and pour a subterranean cellar to house a battery bank and other hazardous infrastructure. Nobody would even notice it happened/exists.
The situation is far more complicated for folks in apartments or high density housing.
