This was an excellent topic to read through.
First to the main question of the topic:
I selected "rapier" and "two-handed sword" as my choices given what was offered.
Rapier - because ever since reading, then seeing "The Three Musketeers" and the black and white "Zorro" on Disney Channel growing up, I took it upon myself to learn rapier and I'm always amazed at how little I know.
"two-handed sword" was an easy one, as a claidheamh mor was placed into my hands at the ripe old age of six! My grandmother (maiden name Kearney, her mother, Wallace) felt that to be a proper boy and understand concentration, control, and get out physical angst, nothing was better than a claymore on a tire pell!
My question back: what else are you looking for in this paper, are you trying to show them (the academie) what you have learned, or are you trying to grow and learn through this paper? As a fellow scholar (masters emphasis in experimental archaeology) please by all means share what you're working on when you are able! Also, I enjoyed the lack of options and the vagueness of the poll. It made it very hard, and one that required concentration. I have recently been spending most of my time either with iaido or working on my single sword and shield technique, so seeing neither (especially the sword and shield) on that poll really threw me for a loop as well.
Also, in my studies of anthropology, I can help you in one thing:
we are all human, and everything follows a set function, and in my studies, both martially and scholarly, no set martial art or set type of "warrior" is better than another. They all have their individual merits and strengths, without any easily perceived weaknesses when viewing a master at their given trade. Even if you are only working in a weapon form within the SCA, or just through books, or eastern martial arts, all of that can then be applied to your own "art" within it. As one of my sifu's once said "a belt is to hold your pants up, if you're foolish enough not to tie them."
Good luck on your paper
YIS
B. Patricius