Proposals and challenges for an air-gap Lightning network

I was reading about Bluetooth Low Energy, which led to the idea of running Lightning nodes completely offline. From there, I began to wonder:

• Are there any existing proposals or positive discussions regarding the air-gapped Lightning Network?
• What technical challenges did people identify when making lightning work with BLE/Wi ‑ Fi mesh?
• Can someone point out that I study or contribute to papers and implementation experiments related to me?

PS: I’m not used to Lightning Network at all, so I might have overlooked aspects that contradict the idea of an air-gapped setup. If so, apologise!