These schools meet full need and have Chinese majors as well as ABET-accredited engineering programs. They are very competitive, but not quite as competitive as the schools on your original list.
- Tufts (MA)
- U. of Notre Dame (IN)
- Boston University (MA): meeting full need is a recent change and this university is much larger than some of your other ones
These colleges are very selective colleges that seem to hit your desired size, majors (with ABET accreditation), and meet at least 90% of financial need.
- Union (NY): Selective university with a 43% acceptance rate; met 100% of need
- Lehigh (PA ): Selective university with a 32% acceptance rate; met 97% of need
- Case Western (OH): Good suggestion of yours! Met 98% of need and has a 27% admission rate
- George Washington (D.C.): Selective university with a 41% acceptance rate; met 92% of need.
These colleges don’t meet at least 90% of need, but I think you’d stand a good chance of getting of getting very good merit, and when combined with financial aid, could make these possibilities. Again, these schools all have Chinese majors and ABET accreditation.
- Drexel (PA )
- Temple (PA )
- Hofstra (NY)
- Southern Methodist (TX)
- U. of Kentucky
And one school where I think you are extremely likely for acceptance and substantial merit aid is U. of Akron (OH). The Driving Opportunity Scholarship would cover tuition and fees, and if the university stacks scholarships, I think you would be eligible for even more to cover your living expenses.