If you can afford that, dhewart, why not go the "traditional" route? Get a CPL/IR from a modular course*, then an FI(R). Instruct for a year instead of working for free. Current evidence from my acquaintances suggests that if you want an airline post you're more likely to get a proper, paid job in that first year than you are to get offered immediate work after self-sponsored type rating.
You will spend less, and have more flight experience. At the same time you will learn a fantastic amount about how to fly (my FI course was a revelation, and subsequent experience has made my flying better than it has ever been), and probably a lot about aviation. You will gain more respect from fellow pilots and the job will be with an employer who respects you. You cannot expect decent treatment from anyone willing to let you work without pay.
You may even find, as I have, that you actually like flying so much you'd rather take reduced pay and wait a little longer to find a job flying smaller aircraft than hop straight into pushing buttons in a big jet
* Modular seems to be better for people who are going to instruct PPL students, in my limited experience, because they know how a well-structured PPL course runs and have flown independently.