It would be possible to send unique Eddystone UIDs from tags - in fact you can do this already in the Eddystone application.
However, you cannot send any plain text string as Eddystone UID, since you’re limited to 0 …9 and A … F.
It is possible to tie Eddystone UIDs to real-world events with various applications, you can for example check out Proximi.IO. To get the sensor data combined with the Eddystone UID some software work would be required.
We’re working on bringing more features to the Tag, however it will take a while before we have user-configurable name for the tag. In the meanwhile, you can check out one of the projects for processing the sensor data in Android or Raspberry Pi.