This station is not a numbers station, but rather it is a transmission, possibly called an EAM (Emergency Action Message), on the HF-GCS (High Frequency Global Communications System) network. These transmissions are frequently misidentified by people who have never heard them before as a numbers station. This network is maintained by the US AF, but any US force has access to and can use the HF-GCS. The “young-ish male” is probably a US Air Force enlisted person.
There are multiple frequencies used by these periodic messages, and typically each message is transmitted on all frequencies simultaneously. Other freqs to monitor are 4724, 6739, 8992, 11175, 13200 and 15016 kHz (there are others also, those are probably the most active and easily heard in your area).
The signal strength you heard does not necessarily indicate high power. The network has multiple transmitters around the World, and all transmitters, or selected sub-sets, can be used at the same time. There are 4 transmitter sites in the continental US, as well as others outside the US, any, or several, of which you might have been hearing.
And that leads us to the long path echo. It was almost certainly not long path echo. Two things happen, the same audio is transmitted from multiple locations around the World at the same time. You might hear more than one site at your location at one time. So, the propagation time difference between the stations you are hearing will make an echo much like long path. However, the echos on the HF-GCS network can be greater than the maximum long path time possible, i.e. longer than a complete path around the World. The longest possible time delay around the World is roughly 134 msec, time delays on the HF-GCS can sometimes be in excess of 300 msec.
So, how might this longer than possible delay occur? While I am not sure of the entire network infrastructure, I suspect that the audio that is sent to each transmitter station around the World is sent via a network (that part is indicated by documentation in the public domain). Probably something similar to a VOIP type of a setup. Network lag contributes to normal propagation distance delays, making longer delays than should be possible.
T!