Rutgers sounds like a fabulous option, and I am sure that if you do well, you could work at a Big 4 after finishing from there. Also, take a really good look at TCNJ.
You’ve probably already seen this (or something similar), but it’s a list of which schools have the highest percentage of its accounting alumni at Big 4 firms.
These are schools from the list (or its honorable mentions) that would seem most in-line with what you’re looking for. If the school’s website doesn’t list what the max merit awards are, then I would reach out to them and ask:
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Wake Forest: Does have some full rides and substantial scholarships available
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Fairfield: Its largest merit awards top off around $25k, so insufficient
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Lehigh: Does have some full tuition scholarships available
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U. of Richmond: There are 25 Richmond Scholars per class…full tuition, room & board.
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Binghamton: There is definitely merit aid (and word is, Binghamton is trying to attract more top out-of-state students), but the website doesn’t indicate amounts
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Bryant: Merit aid is available, but the website doesn’t indicate amounts
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Villanova: The Presidential Scholarship offers full rides
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U. of Connecticut: The Academic Excellence and Leadership scholarships don’t list amounts, and the ones that do were for Connecticut students only (like the Stamps). Not overly optimistic about this one.
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U. of Missouri: Not in the northeast, but you would automatically receive in-state tuition based on your current stats, bringing in tuition, room & board to $23k. If you apply by December 1, you could also be eligible to compete for the Stamps (full ride), and I’d be pretty surprised if you didn’t get additional merit aid beyond the out-of-state tuition waiver.