The schools tend to be pretty specific about merit scholarships so there shouldn't be too many surprises if you've checked out the school's websites.
You are asking for information that we really can't provide. Surprises in financial aid offers is exactly that -unpredictable. As others have said, school Q may provide one person with one thing unexpectedly, but that doesn't mean that you will get it.
For example, when my oldest was looking at schools we drove to Philadelphia to attend an information program for the state school that she wanted to attend (school is in northern PA), even though we'd already visited the school and she had been accepted. We did this because her cousin was a student there and employed in the FA office. She'd given us the heads up that anyone who attended an information program and requested a campus job would get one. While we were there, we spoke with the FA director about qualifiying for personal loans, as most of her education would be financed by loans (NOT A GOOD IDEA). He promised her a job in the FA office, so that she would not have to line up to apply for a campus job. And then told her that he a meeting the next day with the math department to award a math scholarship (her major) and smiled, saying that she would be on his mind. She did indeed get the scholarship.
Great for her, but not helpful information for you.