My understanding is that the courses don't generally allow you the choice of flying school, as most have an affiliate school or their own school. The flying component is usually far more expensive than what you would pay if you were going privately - calculated to nicely cover the total amount of available FEE-HELP that you might have.
If you have found one that allows you to do it at your choice of schools, then that sounds much better. Like going to uni though, the pain of paying the bills 10 or 20 years after you finish is sometimes a little hard to take. And if the proposed changes come through, you will have to pay it back even if you die or leave the country!