I really prefer enchiladas to burritos. I like the corn tortilla better than the flour kind. But if I do eat burritos, I definitely want them wet. I like them with half cheese sauce and half enchilada (or ranchero) sauce, and topped with cheese and tomatoes.
I really like the crumbly queso fresco you get in the better Mexican restaurants. It's so good on everything. It's great on top of the enchilada sauce.
Southerners love Mexican food, but we're really funny about it. We like cheese and tomatoes and onions. Fortunately, the places around here are pretty accommodating, even if they do think it's kind of funny.