I cannot vouch for the setup used on the Ford Edge, but this problem could possibly be associated with the booster throw rod extending to far into the master cylinder. It is starting to close the ports ready to supply fluid pressure to brake system. All may be ok initially, (when cold) but as vehicle warms up, the rod expands pushing further into the MC causing the brakes to apply. What may be happening, is that where you are bleeding from is relieving this pressure within the MC. Carefully match up your old cylinder to the new one. Check the rod between the booster and the rear piston of the MC. If you did not touch this rod adjustment, (if it has an adjustment) it is possible you could have a MC problem, whether it be the wrong application or a defective unit. If the rod has an adjustment, you would need to check how to adjust via FSM.