The school reputation such as Yale is a safety net so to speak. It allows you to have a floor below which you won't sink and guarantees enough chances that you actually find sometehing. At the same time, the best jobs are networked. Everyone knows that. It is by the grease of your elbows that you get the best positions. If networking is your strength, you may not need buy the big guns/name on your side. Obviously you are taking on risk since the brand is looser but you are also getting paid for that risk in the form of scholarship/savings. So if you don't mind more risk at lower cost, this could be a great choice.
P.S. No program is perfect. I have spoken to people from varous MBA programs including the best of the best and all admit that they had stupid classes, professors, classmates, etc. Nothing is ever perfect, so no matter which school you go to, you will have some regrets potentially. Now, with a full scholarship, you brush those off but when you pay the full price, they tend to be a lot more annoying, so if you can get away with a scholarship, do it. Mone in hand is better than a promise of something in 3 years.