You could very well get along fine with a 2A3 SET given the characteristics of your Hedlund speakers. I don’t know how you determined that you prefer the sound signature of the 2A3 without hearing examples of these amplifier. As you’ve discovered there are many choices available in the DHT SET genre.
Somehow you need to find a way to hear a variety of SETs to get some idea of what differences exist among them. You heard the Cary 300b SET and were impressed with it, other brand 300b SETs will have different presentations. It can be somewhat challenging as there are multiple variables to account for.
2000 dollars can get you a good quality used 2A3 SET if you take your time, a similar quality 300b SET will likely cost you more money. I actually believe that the Sean Casper F2a amplifier could be a very good choice.
You asked can the el 34 tubes sound glorious? A talented designer/builder can extract good sound from most any tube. The El 34 isn’t a 300b which I believe is ultimately the better sounding tube (obviously just my opinion). Concerning the Coincident Dynamo several owners have posted their impressions on this site and are quite happy with it.
Charles,