Japandwell brings up some really good points.
Do not buy into the marketing hype. You do not need to go somewhere that guarantees you anything. There is hiring left and right at the moment. There will be lots of hiring for the immediate future, however things could completely change by the time your daughter finishes college in 6 years. Just look at history and see how quickly things have swung from no hiring after september 11, 2001, lots of hiring in 2007, crash of the economy in 2008 and no hiring for awhile, and now hiring like mad in 2015. The numbers seem to point in the right direction for the next 15 years but it could change overnight.
Also, the difference between being an instructor for 1000 hours vs 1500 hours to get to the airlines can be as little as 5 months. I see that the OP has quoted "seniority is everything," and most people who have read the brochures and website from ATP seem to quote this. Seniority is important, but not the end of the world. Life is a journey, not a race.
Things to look for in a flying school... are the instructors passionate about instructing or are they just there to timebuild? It is ok if they have goals to move on in their life, but they should also enjoy instructing.
What kind of depth does the instructor corps have? Are they all fresh faced instructors or is there a mix of young, new instructors with older experienced instructors who can mentor them? There is nothing wrong with a young and inexperienced instructor, but it is great when they have resources at the flying school that will allow them to grow as an instructor and aviator.
Read google/yelp reviews of the schools. Do any have consistently bad ratings and reviews? Look for red flags.
Ask to look at the planes. There are lots of old airplanes, and that is not necessarily a bad thing, and some fleets get high utilization but what is important is the maintenance.