Some good feedback already. There are a lot of options, from the more technically oriented schools (e.g., RPI, Rose Hulman, CalTech, Florida Institute of Technology, et.al.) to colleges with more limited engineering offerings (e.g., Trinity TX, Trinity CT, Lafayette, et.al.).
As a former electrical engineering major and a hiring manager of thousands of engineers over time, I'll add that computer science can be an awesome path too, and one that is more widely available including at many liberal arts colleges.
As Fenway notes, there are tradeoffs. Not a ton of engineering majors on baseball rosters.