The problem you may run into is that flight schools that have financing for career training (Sallie Mae, AOPA, Pilot Finance) look at your current debt, and would probably not be willing to lend even a quarter of the training costs at their partner schools. AOPA and Pilot Finance in particular also require some high income requirements, and even then will not offer even a quarter of the training costs. If you borrow $70,000 from Sallie Mae, their standard interest rate for flight training over the max loan period of 15 years would translate to you paying between $150-175k over the period of the loan.

If I were in your shoes I would probably put your degree to use for a few years, and save as much money as you can, and start by getting your PPL at the local FBO. I don't know about you, but I would be terrified of entering the airline industry with a $1,000 monthly loan payment that will follow you for a decade or more.