I certainly encourage you to look at the thread that @CollegeMamb0 recommended. You can find it at Looking for advice in Merit aid for a top 1% student
Since you are in Maryland, College Park might turn out to be your best option, but if you are looking for big merit out-of-state you must look South, and especially Southwest. Arizona State (ASU) and University of Arizona should be on your list. Their Engineering programs are well ranked and somehow they are both willing to offer strong incentives to candidates like your daughter.