Another car? You bet! Especially considering how numerous those trips will probably be. Could have a '91 or older subcompact with collector plates on it (like certain Tempos I know of) only activate the insurance when it's gonna be used, pick it up (or already own it?) for dirt cheap (I won't launch into my success at finding those again).
No, build a
light battery trailer

Or just go get one from Harbor Freight for cheap.
They can recharge from wind or solar I reckon. Or not mess with it and go ICE.
Yes. Buy a wreck that would make a good ICE trailer. You got it!

I wonder if it would qualify for the same sort of permanent registration my HF trailer has? That's a small one-time fee.
Someone should charge up an EV battery bank with a portable generator sometime and let us know how long it takes and how much gas it uses.