SUNY Polytechnic is another possibility. That is one of the campuses that participates in the Flagship Match program (i.e. he’d pay no more than the tuition at Rutgers-New Brunswick). It’s ABET-accredited for civil engineering, civil engineering technology, electrical & computer engineering, computer engineering technology, electrical engineering technology, mechanical engineering, mechanical engineering technology, and nanoscale engineering. So whether he decides on full engineering or engineering technology, he could pursue it here.
As others have mentioned, I 100% agree that your son’s major should be his choice, but this is another school where he’d have options to go either way.