I have a pretty wide range of RZ67 lenses--I *don't* have the 110, as unfortunately prices on those have gone a bit mad.
The 65 is a really nice lens, and would give you approximately what you see in that first photo. You could probably also do it with the 90mm, which is a really sharp lens. (I once took a full length portrait of a friend of mine, leaving a bit of room above his head and below his feet. And I was stunned when looking at the black and white negative to see that you could clearly read the lettering on the button holding up his jeans.) But the 65 would give you a little more flexibility shooting in confined spaces.
The other lens I use the most is the 140mm macro--which, it appears, your rental place doesn't have. Extremely sharp, long enough to do fairly close head shots, but you could still do a full length with just a bit of backing up. Plus it has close range correction, if you are shooting really close. (All RZ67 lenses focus quite close, because of the bellows, but the 140 is primarily designed optically for closeup shooting, and has adjustable close range correction.)
The 180 is indeed a very nice lens for tight portraits. If you want to see what mine can do, I've posted a full-resolution shot I took several years ago with an ancient, 22-megapixel Sinarback 54M. You can see it
right here, and I think it'll give you all the quality and sharpness you want.