I’m no expert, I think this is NVKs wheelhouse
theoretically it’s possible to encode or compress token strings and then transmit via digital ham radio modes like PSK31, FT8, or JS8Call but it’s quite an undertaking and also generally illegal I believe as Ham radio cannot be used for encrypted or commercial communication
that hasn’t stopped hobbyists sending raw Bitcoin transactions via JS8Call. Similarly check out Samourai’s TxTenna using GoTenna and LoRa based mesh radios like Locha mesh developed by Venezuelan bitcoiners
Cashu works offline by design, until your phone is dead