Anyone you speak with pre-acceptance is going to be trying to sell you on the school. Nothing more. And you need to sell them on what you would bring to their school. At best they may be able to point you to scholarships awarded based on certain scores/GPA (not sure if Drexel has any like that) and talk about average financial aid awards. I think that’s a co-op school so they’ll explain that concept to you.The closest you’ll get to a price is an estimate from the school’s Net Price Calculator.
Also, you apply to (most) colleges senior year, not junior year. The common app doesn’t even come available until August of the year in which you apply (There are some schools where you can apply earlier using their app but that information should be available on the school’s website).
I’m pretty sure schools don’t want to be dealing with applications for future years. They have enough to deal with one year at a time.