Here's a recommendation - it's free advice so you're getting what you paid for.
You don't make enough money as a family to do this - and you won't make enough money to pay for all the financial aid you will be taking out. Taking out a loan of any type buys you risk. In this case, the risk is after training is complete you may not be able to make the payments on the loans.
If I were in your shoes and really wanted to fly for a living, I would do the following.
1. Work about 80 hours a week doing anything from lawn mowing, bartending, or pizza delivering.
2. Live a very spartan lifestyle. Provide the basics for my family and save.
3. Build 6 months worth of expenses as an emergency fund.
4. Save all the money needed for flight training.
5. Pay cash as you go at a reputable flight school.
Basically, sacrifice now in order to have a better life later.
Best of luck!