Not a direct answer but I try to keep the cover hooked every time I close the hatch. (I don't have the PHEV.) But always have a few bungee chords, throw blanket and emergency items in a bag or two.
BTW I found a good place for my fire extinguisher. Under the driver's seat, behind the amp, wrapped in a dark rag. No rattles, accessible and no rolling around!

 

I bought a sturdy plastic toolbox from Walmart that the complete charging cable for my 2024 Tucson Limited PHEV fits in nicely. It is 16"x8"x8"and was about $12. I keep it in my garage near the charging wall outlet and move it to the cargo area if I go on a trip where I think I may need to charge.

 

It’s not convenient but it is tidy - under the floor of the trunk there is a hatch you can open. The foam block has cutouts. I stuff it in the center back on that is long and skinny, part of it back where you can’t see, with the remainder of the cord in the front section that is visible. I don’t use it away from home nearly as often as you, so packing it up for road trips isn’t as big a deal as doing it several times per week. Of course this doesn’t work if you have other stuff in the trunk preventing you from lifting the hatch.

On a semi-related note, we eventually found a secondhand level 1 charger on Craigslist for a reasonable price ($50) so we wouldn’t have to move the home charger to the car. Any charger with the same port shape as the one Hyundai includes will work, it doesn’t have to be the exact model.