I am running two Hive witness nodes which is soon to become an API node and two Hive witness nodes. All from home.
For the API node I'll run jussi (reverse proxy server) on a Raspberry Pi 4 running on a different internet connection.
If your NUC has at least 8Gb RAM and at least 500 GB SSD and a 2/4 core fairly recent CPU you can manage a witness node though 24+Gb RAM and a better CPU with decent single core performance are recommended if you want to be able to replay.