A certain high-tech gadget draws, roughly speaking, 1.5 Watts.
So, in a month, it'll consume a bit over 1 KWH.
Which, in the context of your electric bill, is basically zilch.
But, if you want to run it nonstop for a month without plugging it in?
You're looking at a seriously big, heavy battery, costing hundreds of dollars.
There are a lot of hours in a month. Never seems like enough, with regard to getting stuff done, but a great plenty when it comes to draining batteries.
The proposed location isn't even that far off-grid. But, alas, off the grid it is.