I don't think that hardware is all that power efficient, plan on about 15W or so, which needs about the equivalent of 3x 5V 10,000mAh powerbanks to run anywhere near 10 hours.... ah wait, they usually give mAh at the nominal 3.7v cell voltage, so more like 4 or 5 of those size, getting on for a couple of regular 3.5HDD worth of battery volume... At least it would be authentically chonky.
I haven't seen ESS chips available lately but some CMI ones might be around still. But I haven't really been seeking either out, that's just impression I have.
Personally if I was dead set on having such a machine, I'd prolly wait and see what S. Kiselev's 486 ATX board is like and stick it into a clamshell form factor, like T3100ish. Though probably I wouldn't care about battery so much and give it a couple of hours worth, possibly with USB C power feed, so I could rig whatever auxiliary pack.
Unicorn herding operations are proceeding, but all the totes of hens teeth and barrels of rocking horse poop give them plenty of hiding spots.