... both of the school's medians, maybe even both of their ... 're not way above their medians, though, I'm probably wrong ... you're well above their medians, I don't know anything ...
You're above both their medians and are applying ED.. i'd say its a waste of time/money to retake unless you can get 174+ for the full ride... and even without this score you can probably still get good scholarships based on your undergrad history.