There are not many downsides to the proposal of taking the NEIT Quadracycle, and the participants (especially the females*), to the Henry Ford Museum for a Makers' Faire.
The NEIT
should provide most or all of the funding: more can be obtained from groups that promote female involvement in the STEM fields, and from a crowdfunding drive tapping former Engineering students and students in general, etc.
It fits under the guidelines for 1: community involvement, and 2: positive publicity for the school, etc. I.E., advertising.
I'd recommend also finding some car/ American History fans amongst the Journalism/ Media students, and bring at least one of them along to write website and magazine articles, post stuff online, take photos, and all that kind of stuff. In fact, they could set up an NEIT Quadracycle Club website/ Facebook pages/ Twitter account, and take some time to make sure the journey is made known to Ford and antique auto enthusiasts, commercial media, and so-on.
A check with whoever looks after NEIT's various vehicles might reveal an appropriate trailer or truck to transport said Quadracycle to the Museum and back.
*That should include the young female high school student who did a bit of the work, if possible, and, of course, parents and family as chaperones/ cheerleaders, Twitter tweeters, etc.
Cheers,
Chris Green.