I'll add one that I was surprised with today.
Buick Encore
(2018 but all models 2013-2020 should be identical in the cargo area)
I wasn't planning on using it to move my FH today but we did quick measurements and much to my surprise it worked with room to spare. A couple inches of depth still available with the front seats all the way back. A few inches on either side and 2"+ clearance above the folded head at the opening.

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They made a "Limited" version of the Acadia for the 2017 model year which was the old style Acadia. The new style has a 30¼" max clearance at the opening but I can't comment on fitting a pin in it.

Buick Encore - another update.
Fits wide-body JJP like a glove. No clearance issues but shooter rod was just touching the drivers seat. Its like they made this thing to haul pins. My favorite 1 pin hauler so far.

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2020 Chevrolet Equinox
(same as Terrain)

No-go based on about 1" too little entry height.

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2020 Cadillac Escalade
(Same as Yukon XL & Suburban. If anything Cadillac my have a bit less vertical space than the others but lots of room all around).

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2018 Acadia
Nice square opening. Lots of room all around with 2nd row folded.

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Unfortunately no - same style. I had to take the head off of a Stern POTC to get it in that style Terrain. Lots of room if you could sneak past that upper beam at the rear hatch (trust me, I tried to).

The white car is a 2018 Acadia

If you look in my pictures that is what some bumper covers come wrapped in (as in automobile replacement parts). Slick on one side and durable foam on the other so the bottom of the machine catches it and slides it back naturally. Good if on a carpeted surface. These wrappers were really common back in the day but less so now. May still be commonly used in other shipping/packaging sectors but GM not using them much. Check with a local bodyshop - I'm sure they'd be happy to give them away if they have some handy.

It could have been a Voyager. Chrysler brought back the name for the low-feature entry level Pacifica's starting in 2020.

Yep, shouldn't have any problems with the head off.