Kurt is also not in a claim, apparently he is uninterested in entering a claim. and goes to the same state house for release. There he meets Blaine and after their first encounter they arrange to meet there daily. They each develop but don't acknowledge feelings for the other.
Meanwhile, Kurt goes to Mckinley to visit/encourage his old glee club of which Blaine is a member (I'm pretty sure this is a part of the story I'm looking for but I may be mixing in a different story). Blaine thinks he recognizes Kurt's voice, but isn't certain and I believe Kurt doesn't see Blaine there in the group.
Ultimately K&B get together and they enter a claim. There is a sequel where they move back to Kurt's place in New York and Blaine finishes High School there. I believe in this story Dalton is in New York (but again don't hold me to that part).
I thought it was on AO3 but I can't find it there. Any help would be greatly appreciated.
With thanks to tikaya for the link to the original on the GKM
Unwanted and the sequel
525,600 Minutes on AO3