I think, on paper, you can be competitive. Maybe I missed it but you didn’t tell us your coursework.
Do have 4 years English, math, social science, foreign language ? What’s your highest math ?
Yes, you need a budget. Schools like Delaware, Minnesota, Wisconsin are outstanding for ChemE. And with your gpa and test scores, you can go to an Alabama, as an example, for under $20k due to your stats.
If your rigor is there, I think you’d have a chance (not assured) at all three but if you can’t afford them and Michigan is $80k plus a year, it’d make no sense.
Please update on course work including APs and budget. I know you said highest rigor but that doesn’t tell me the courses and # of years. Thanks