I’m thinking not. The student is chasing name and cost. W&M is a big name in state. Every other school has engineering and OP noted in the first post engineering. But that’s what I think. None of us knows what’s in OP’s head.
I’m simply letting OP know there are accredited and budget friendly schools where their stats creat a cost that will 100% work, not cross your fingers like Purdue or UMD. That applies to the admission side too.
And without the admission risk too.
They also have that in-state with very solid VCU which has most engineering disciplines.