Seeing that at least one regular AmIRighter has done well with a few "academic-sounding" parodies about language, I'd considered doing a parody based on a true story from my college days:  when I took Old Norse one semester, the entire class consistently flunked the grammar quizzes.  After a few weeks of that, the teacher said our textbook taught grammar poorly to begin with and stopped quizzing us on it; from then on we started sight-translating in class and the teacher explained as we went.

What does all this have to do with the parody itself?  Well--I've begun work on sending up "A Horse With No Name" as "Old Norse Is Insane".  This is what I have so far, though I'm sure I can do better:

On the first quiz that semester
Couldn't get it, to save my life
There were cases, verbs and nouns and things
There were endings, rules and things
The first lines I read left my mind all abuzz
Couldn't try to think out loud
My seat was hot and my mouth was dry
Didn't dare to make a sound

I've been through this class, and well, Old Norse is insane
It's no good to be wracking my brain
The professor, he thinks the book is to blame
'Cause there ain't no one who can pass, what a pain

La, la, la, la, la, la, la, la, la
La, la, la, la, la, la, la, la, la

On the next quiz, I saw ev'ryone with papers marked up in red
On the third quiz, I heard ev'ryone, class was wishing they'd all stayed in bed
From the stories we'd tell, learning grammar was hell
It's too bad the language was dead


Rhyming "things" with itself is bad form, but I wasn't sure what else would be appropriate here.  And I'd really rather be complaining about the course material itself than saying "my seat was hot and my mouth was dry".  Does anyone out there know the original song well enough to offer better suggestions (especially if you've also had problems with a graduate-level class in a dead language)?

Is there something you could add about odd misspellings, or accent marks? That could open up your list of "things" in the second & third line.

Throw some examples of the Old Norse that could fit into the verses, so the listener/reader can understand why it was such a pain (it would be really funny if you can substitute the "lalala" chorus with some of that!)

O-din's runes are clever, but Old Norse is insane
Almost foolishly doubt my own brain
With some effort, you can remember a phrase
But there ain't no one here who's not in a haze

Huh? Huh?
Huh-huh-huh-huh-huh?
Huh-huh-huh?
Huhhhh-huh?

I did try to search for a Norse paradigm or two that would match the pacing of the "la-la" chorus--no luck though, even after combing through half a dozen sites on the language and grammar.  I did use some of the ideas you suggested, though; here is the version I submitted to the site:

Old Norse Is Insane

Very good, Ingeborg! 8) Submit it here, too!

A Norse is a Norse, of course, of course...  :P