It does get confusing with all the seemingly related names of the various species. I just did a little searching to double-check myself, and I do believe what we've got here is American Hophornbeam.
I've been eyeing them for a couple of years now, and I do see that most have a varying degree of twist apparent in the bark. Now I'm narrowing in on a 6" or so length, probably 4-5" diameter, with as straight a bark pattern as I can find.
Will probably be a Meare Heath- ish style; hopefully 40# or so @ 27". Thinking to start tillering with about 1 and 3/4" width at the base of the limbs.
Expecting it to be a heck of a lot harder to actually do it, then dream about it!