Glad to hear that you have RIT and Syracuse on your list too.
What made you pick Syracuse? I don’t usually think of them for engineering. If you like RIT, you may also want to consider Case Western.
Here’s the list of the top mech E schools for undergrad: https://www.usnews.com/best-colleges/rankings/engineering-doctorate-mechanical
Rankings aren’t everything but some of the powerhouses for engineering are the big state flagships, not the Ivies.