Diana 34 EMS?

The “T06” refers to a particular trigger, correct? Is there anything else in general to keep in mind when shopping for a used one (beyond condition, etc., of course)?

Yes, the T06 refers to the latest trigger version. Most love it ! Some swear by the T01 when in reality they're both great.

Stay away from the 1st generation versions. These have the scope dovetail grooves cut directly into the receiver. Had one, didn’t care for it ! The newer and better models had a separate dovetail rail fastened to the top of the receiver. I don't think the T01 versions were rated quite as powerful as the T06 models. The beauty of all the 34's is the wide variety of parts to service them. Look around! You'll find one.