edit: Oh wait a minute, no they should be right there in your campsite right after you scan them in. They're not there?
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You have to invite them again (total of three days).
For example, I'm in the middle of doing this myself for Kabuki. I have to scan him in, do his DIY, then talk to him til I invite him. He says he needs to be invited again. Scanned him in again today (can only be done once a day), did another DIY per his request, then kept talking to him til he hints he wants to stay again. Tomorrow, I have to do it all over again one more time. Then, he'll finally give in and accept your invite.
I'd make a plot that same day (3rd day) to make sure no one else random moves in.