Good information about your effort. I truly wish you guys luck - this seems like a very stiff challenge to gauge Earhart's height with precision within an inch or so.
Given the prop scaling mentioned, as you mentioned earlier, Ric, the prop now installed on Earhart's Vega may not even be the same length as that installed in historic photos of yesteryear, so the possible variables from that and other things seem daunting: she may have swapped props (low time kept / high time installed) as well as engines. Even a given prop type often has blade lengths that can be shortened permissibly for repair, etc. That said, the Vega clearly has lots of 'landmark' features that may be helpful. One hopes the original cowling is present, of course.
A picture of the NASM Earhart Vega exhibit shows a ground adjustable prop now on the bird - likely the original type, but what appears to be a variable pitch prop (hydro-controlled) low in the foreground. I doubt that hydro-controlled prop (if what it is) was ever on that Vega - may possibly be an example of what was on the Electra or something, don't know.
It may be of some side interest (not in terms of measurement so much) that the Vega carried an earlier version of the same basic direct drive Pratt & Whitney 1344 cu. in. engine as the Electra - a Wasp (C1 at 420 HP or an SC1 at 450 HP; Electra of course carried the S3H1 at 550 HP normal, 600 HP for 1 minute at take-off).
Since gear scaling is mentioned, I wonder about possible variables like the gear height - aircraft weight / strut extension, tire height (inflation / original size / type: semi-airwheels, or airwheels, etc?) and whether the condition of those things is clear in the historic photos and effectively comparable to how the plane sits today. I also note that the tail is raised somewhat in the exhibit, so the nose is a bit lower than would be the case if sitting in normal ground attitude. Fussy details, but when you're trying to benchmark the aviatrix against an airframe of that size it probably will be tough to work through those details.
It's cool that you got direct access. The Vega - a beautiful craft and sleek for its day, is my all time favorite historic airplane and they're quite rare. It was arguably the first purpose-built 'business airplane'. I was permitted 'inside' the rope with Kermit Weeks' example some years ago at Fantasy of Flight for a close look, quite a treat.
Not meaning to go on so but this is what happens on my way to 'looking something up' in aviation museums...
