To be fair, Chicago doesn’t really have any engineering in practice, just in words. Molecular engineering is a term that applies to techniques used in multiple disciplines, rather than an engineering specialty per se. Granted, as someone who did some of this as an undergrad, I find the program to be quite interesting. I don’t think it’s what the OP is searching for.
Mudd is closer, but certainly not the typical college experience with athletics, other majors, etc, save the adjacent consortium. It’s a grind too. One of my son’s best friends is an alum, and he certainly attested to the work hard/play hard reputation.