I don’t think you need to worry about this at all. I know quite a few students at W&M, and they are all curious, engaged, and motivated. It seems very much a “fit” school, and everything you’ve described about yourself suggests W&M would be a great fit.
Size and location align with your preferences. You’re in-state so the price is right—a real bargain for such a great school. And I think you have great odds for ED, so you could be one-and-done and able to exhale in December. Seems like a great match.
Best of luck to you!