Stupid question, perhaps: was/it possible for this sub to have any kind of beaconing or communication system that works at depth? It seems like one of this first things I'd investigate before deciding to build a sub.
Summary: water attenuates radio signals, and a 4Km cable is going to be way heavy and subject to currents.
So perhaps the best you could do here are something like emergency buoys that either one can record data on or perhaps automated recording some stats/location/whatever that can be released in an emergency and send a broadcast once topside?