I have a 3-channel VK6200 and am driving, actually connecting them this week, to 3 HT2s.
I have driven other speakers with this amp and can report that it is effortless, dynamic, neutral and nuanced.
It is dead quiet. No noise with no input.
There are certainly other fine amps out there but at this level it really is a matter of taste.
I've spent time with BAT tube products and prefer their SS.
As you know it's built like the proverbial brick outhouse and most all of that weight comes from the monoblocks
and not from the chassis.
The only issue I have experienced with the BAT was due to its size.
It's 24" in length and can present a problem when trying to fit it in a regular rack
BAT as a company, is a pleasure to deal with and are real people.
I'm pretty sure you will love it how it sounds with the HT3s.
Remember, lift with you legs