All makes sense to me.
For flight schools, do some research, talk to actual students out of earshot of management. Get the real scoop. Be wary... very few students, CFI's, or flight school employees actually know anything about airlines. You can easily tell when a flight school salesman is lying because his lips will be moving.
For regionals, priority should be domicile, ie where you want to live or live near (if that matters at all to you). Avoid bottom feeders, and consider carefully before going to a stagnant regional where upgrade is very lengthy (you might or might not need the TPIC, but why risk it?). Right now TPIC is still a heavily weighted factor, so the sooner you get some the better.
Based on retirements, a normal upper-middle class college grad type of person should be able to get a legacy/SWA job off the street years before AA flow would be available. But if you like a safety cushion, or don't have a squeeky-clean background in all respects, the an AA regional with flow might be the safe bet.
Once you get 1000 TPIC, depending on industry trends and your own whole person profile, you might consider a second tier major. If the big four don't call for some reason, you will be better off at most majors than at any regional. May not want to give up years of seniority holding your breath for big-four.