Module is pre-programmed to send data to a remote server
Module tries to connect to last good AP, if connected, it sends data
If it cannot connect to a stored AP, it switches to AP mode and accepts HTTP connection for configuring a new AP connection (and possibly new remote server).
After a new configuration is submitted via HTTP, it tests the entered info then switches back to station mode and begins sending data again.
..or some variation of the above, perhaps with a button on a GPIO to switch into setup mode instead of doing it when the station connection fails. Something your mother could make work if you sent her one.