Disclaimer: I am not connected with Tulane, nor am I an expert. I’m a mom whose kid is considering Tulane for the same reasons as your S.
Your son’s stats are competitive for Tulane’s Presidential Scholar Award, which is $32k/year if I am remembering correctly.
Your son would also be competitive for the Paul Tulane (PT) and/or Dean’s Honor Scholarship (DHS), both of which are full tuition and require a separate application.
Check this thread for a comparison of stats vs. awards: http://talk.collegeconfidential.com/tulane-university/1966276-help-finding-a-scores-vs-awards-thread-please.html#latest
Keep in mind that Tulane values demonstrated interest, so visit if you can, and your Why Tulane essay is not optional and should list specific reasons why Tulane would be a good fit for the student.
Tulane sometimes rejects or waitlists high stats students if they think the student is unlikely to attend.