4) The town's obsession with the Buckeyes would get very annoying, real quick. Case in point, I saw a huge billboard supporting their athletic director. After all the scandals they've had that seemed odd to me that the university would publicly support him, and even stranger that they would rent out a billboard to make this point so brazenly, as if they needed to convince themselves and run a PR campaign on the whole town so that everyone's reality doesn't crumble.
That's nothing! Have you not noticed public (state-funded) universities serving as mouthpieces for private companies, putting up their ads on their buildings?! Such universities and colleges are not by tradition or designation open for public communication, but are used for business, education or other devoted purposes. The State reserves such non-public property for its intended purpose; they are considered non-public forums and include courthouses, jails, government offices, city halls and public schools. While State property that is a non-public forum is required to be open for its devoted purposes, it is not required to be open to the public for other expressive purposes.
Remember that we're not talking here about a walkway from public street or sidewalk leading up to University building -- some open public forum sidewalk not so delineated as to put speaker on notice that s/he has entered some special enclave where speech is not protected -- a case that would be a "grey area" in this field of law -- we're talking the actual buildings of such universities.
An interesting take on the issue indeed!