For a safety school, why not look at Loyola? You like Tulane. Well, Loyola is literally right next door. Almost like one big campus. And Loyola has cross registration with Tulane which allows you to take 2 courses per semester for 4 years at Tulane. That’s 16 courses, 48 credits in 4 years if you plan it right. More credits if any of the courses are 4 credits.
You would seem to be a strong candidate for a full tuition Ignatian scholarship at Loyola + some money toward room & board. If you can piggy back a TOPS Scholarship on top of that, it would be another $6000 per year, which would make up any additional costs for room & board