Your daughter's situation is exactly like my son's a year ago. He is now 33 months old and has been without a pacifier since a couple of months after his second birthday.
I asked my dentist about pacifier use because I was worried that it might cause an overbite, and he said (after checking his mouth), that it was not causing overbite and that I should let him use his pacifier at night and in the car until he doesn't seem to need it as much. He said it is not worth the trauma and that some children start sucking their thumbs if their pacifiers are taken away when they are not ready.
As my son approached his second birthday, he was proud of becoming a big boy. We started talking about his not needing a pacifier any more. He basically gave it up himself, with some encouragement from me and my husband. I noticed that he would not suck on it all night, but would spit it out after he fell asleep. One night I asked him if he would like to try to sleep without it and he said OK, and that was it.
About searching for pacifiers, I had the same problem. I put three pacifiers in his crib. If he threw all of them out, I would only pick them up once or twice if I thought he was nearing the end of this tantrum. I refused to pick them up, after telling him that I would not pick them up if he threw them out again, and he quickly learned to stop doing that.
Good luck.
J.