At some schools, children of faculty are asked to apply in the ED round if they are also applying for any tuition benefits that come with that employment status. It may be that he has tuition exchange benefits with other universities by virtue of being a faculty member. This is all worth researching up front.
I also agree that you school’s college counselors are in the best position to determine your chances and to steer you towards schools that are a good fit and where your attributes will show well.
While a EDI/EDII strategy is not possible with Columbia/Duke, it might be possible with other schools that end up on your shortlist.
Good luck!