No. You should not borrow $100,000 in the US. To begin with, that is an outrageous amount to borrow for an undergraduate degree. Even US students shouldn’t be borrowing that kind of money for anything other than medical school. As an international student, you have no guarantee whatsoever that you will be able to get a job that will allow you to pay back that amount of money. Your co-signer could be stuck with the debt.
You can’t afford Drexel. You need to find a less expensive place to study.