Some more knowledgeable contributors might chime in but maybe consider some more LAC’s.
If you’re looking at math there some excellent LAC’s that meet full need and are easier admits than MIT, Harvard, or Stanford. You also might get a bump for being male. LAC’s are typically skewed female. They probably don’t offer ChemE but Chemistry and math are pretty good options.
Look at Carleton, Macalester or maybe Williams? They might not have the name recognition like a Harvard but employers and grad schools know them well.