Hi L.,
Warning - by the sweet nature of your question, there's no doubt I'm a mean, mean mom and my response will reflect that.
I don't believe in managing the disappointment - let your daughter FEEL her disappointment. When we try and prevent our children from having the same kinds of experiences we would in life if we ran around throwing fits, we basically set them up for a hard awakening, later. What she truly needs are your words. The calm, cool explanation, when she is in the midst of her worst, that, children who behave the way she does get nothing, sorry. It's okay to tell her - if you CHOOSE another behavior, you will have a different response from me. But, right now, you get nothing (and I don't care how loud you get - but I will remove you to a room where you can enjoy your screaming, and not subject others to it). You have to mean what you say, say it calmly and follow it through - EVERY time. Otherwise, she'll keep escalating and testing.
Really, what she is seeking from you is knowledge of how the world works - where the boundaries are, what the consequences are. If boundaries keep moving, she cannot manage her behavior in any predictable way. If the consequences keep changing, same thing. Once a child gets consistent, calm delivery of predictable results each time, they WILL settle down (though some will take longer than others, given whatever stubborn factor may be at hand). The thing is, you cannot lose your cool, flinch, give up or give in at any point or you're back at square one.
Well, that's my mean mom advice. I can only add, I have been there - done this - and the results are worth it. You'll be proud to take her anywhere, anytime, if you're willing to be the 'bad guy' for awhile.
Last but not least - three cheers for your seeking help on this. You clearly love your daughter and I bet you're one of the sweetest people on earth (now go be mean :-).
Best to you,
T. B.