I would definitely talk to the parents, preferably in person, before you give your daughter an answer.
I was the parent who had the "all night parties" after Snowball and Prom. However, we live in a small town where everyone knows everyone else. I never went to bed. I did not stay in the room (it was in the basement). But I was in and out all night, replacing food. It was both boys & girls. They played board games, Wii, and watched movies. Usually half of them would fall asleep during the movies. I would wake them up for breakfast about 9:00 and send them home. Yes, it was a lot of work and I would be very tired for a couple of days. But it was so worth it to provide a safe place for our kids to go. I did have several parents call before to make sure there would be no alcohol and that there would be supervision. I was never offended! They all had to spend the whole night unless they talked to me about it ahead of time.
Now that both of my kids are in college, several kids still in High School are wondering what they will do after those events because no other parent has stepped up. I think that is sad!
Maybe you could offer to help the parents. One parent spent the night here, helping me and just visiting with me to help me stay awake. It was much appreciated!
Good luck!