I had this experience 15 years ago. I took 2 kitties (about 3 months old) from a farm in my apartment and they climbed the walls. They even tried to dig a hole under the door in the concrete floor under the carpet. After a week of horror I gave them back to the farm.
Since then I have looked that my cats came from a situation where they had known people.
On the other hand with my first Grisette it was a good experience. She was afraid and as I said before lived under the kitchen cupboard for 3 weeks but then she started to live with us and to be social.
I hope everything turns out well for you, the kitten and your bunch.