Those instructors at All ATPs seem to get a lot of multi time.
If you get your MEI there and impress them, perhaps they would let you instruct there.
You may have to relocate, but they have them all over the country.
ATP Flight School: Airline Pilot Training & Pilot Career Development
Good luck. This career isn't for the faint of heart. You need to really love flying airplanes, because chances are slim that you'll ever get rich doing it.
As my accountant turned aspiring airline pilot friend once said, "Being an accountant is a lousy job, but a great career. Being an airline pilot is a great job, but a lousy career."