W&M admissions is actually very active on the W&M board. I would suggest posting your question there, as I am confident that they would respond.
Having said that, my son submitted his application and the supplemental essay (which was a bit quirky) and was accepted. I think W&M in particular really welcomes anything that can give them an insight into what makes you tick. I would send anything that does that, even if it doesn't directly pertain to your major area of study.
Again, post on the W&M Board.