Let me try and clarify. You do not need a mega buck (~$10k) amp to get the most out of these.
Not only is there a wide array of Class AB amps starting with the post 1990 models: Emotiva, Classe, Adcom, etc
Then there is the pre 1990 set, if you can verify that they have been recapped in the last 15 years (or less): HK Citation 12, SAE 31B, Ampzilla, etc.
Then there is a nice group of Int Amps: Yamaha, Denon, etc.
For the most detail, my experience says Class A (fully or sliding bias): Sudgen, some Asian amps/Int amps. Something like a Pass or a Krell might only make sense if they were doing duty as a speaker amp too.
The current or recently current Int amp I recommend is the Schitt Ragnarok 1 & 2. Used 1's are going $900-950. Class A to 4 watts, it's a monster driver for the HE-6 with a balanced connection. The 2 which I didn't hear with the HE-6 (but the HE-500, LCD-4, Arya) would do the job with even more impact in the bass then the 1, it also runs cool, and it's what $1500? And its got a nice warranty if you buy it new. I think the weak point is Class A for only 1 watt. PLus with either one you can get 100 wpc at 4 ohms out of them.