Ok, I am sure that I will take a different stance than most everyone, but my kids, my 2 nephews, and my goddaughter all did about faces with their behavior when the food was changed. You can try all the behavior modification consistencies and I am sure they will either work some or all. Your daughter seems to be melting over each transition or change that happens. That does indicate that she "does not feel well" and does not have the coping skills to handle these little things when they happen. Until you know for sure she can control it, I would be very gentle and supportive like "Gosh, that really is dissappointing when the landscaper noise goes away, I bet you are sad. Can Mommy hug you for a minute." You are not giving in or giving her her way, you are just supporting her through what she sees as a big deal.
If you want another take, assume your daughter, like many kids I know, are responding to their bodies not being regulated and their tummies are out of sorts. Food sensitivities and allergies will cause big problems for their level of tolerance. No, they don't tell you that either. Futher, they often crave the foods that are the most problematic.
First, remove milk (substitute rice or almond) and all milk products. Two weeks later, begin phasing out wheat. Usually, this behavior is more related to the milk, but wheat is always a big one as well. Be sure to notice what frequency the behavior occurs now and what frequency happens within 2 weeks of the removal of milk and 1 month from the time wheat is removed.
There is lots more health work you can do to improve behavior, but usually, you will see an very nice improvement in behaviors with just this. Do not tie the change of foods to the behavior, though, it will back lash on you. Just say it is to get her tummy better.
Just my 2 cents, J.