I can relate to your el 34 in triode mode experience. My el 34 is switchable and I preferred the triode sound with my speakers. If was this enlightening discovery that led to curiosity regarding true DHT (directly heated triode) tubes.
I took the chance and bought a 300b SET amplifier, immediately after powering them up the first time I realized that there was no going back. The sound quality, pure transparency and natural tone took a giant step upward. Its been more than 7 years of utter satisfaction with the SET in my system.
Charles