Too many sisters during recruitment?

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Hi! I'm from a chapter that used to be pretty small, but we have grown a lot over the past several years, and now we have a problem we have never had before. There are too many sisters during recruitment! I am on the recruitment committee and we are having trouble figuring out where to put the 'extra' sisters. We don't have a house, so there are no spare rooms where they could hang out, and it doesn't seem fair to make some sisters show up to recruitment and let others off the hook. We are thinking it could end up being several dozen sisters who do not need to recruit. How do other chapters deal with this issue? We don't want to hurt anyone's feelings or divide the chapter in any way. (And I know some chapters let their seniors not recruit, but some of our seniors are our best recruiters and we really want them there.)