To me it occurs that having such a low resistance (at frequencies) must be a negative. Well, I don't know anything about this. Maybe you like to explain a little about this ?
Your speakers should not be lower than 6 ohms over their entire frequency range (impedance curve) giving the amplifier an easy load. Mani's ESL's are basically capacitors giving lower impedance at rising frequency which is a problem for most amplifiers, especially if you like to crank it up a little. Your gainclone is not sensitive to very low impedances in terms of distortion and even capacitance does not bring it off track, they just do not like low impedances limiting their maximum output.
Good thing is that the amps will not gradually start to "complain", they only make a weird (loud!) noise when the limit is reached (as if things are broken!). No problem for the amp or speakers though, it is an internal protection that just makes noise like that. If you do not hear that specific noise then all is well and you have plenty of power...
At your place you will not be able to hear the limiting noise coming from the GC's (and if you try then I do not want to be there without earplugs!!!) unless you connect low sensitive speakers to the amps and turn up the volume.
Bridging the amp gives it more headroom (+6dB), not sure if a bridged combo can be bridged as such again though but if so then a GC with enough power to drive an ESL could be created.
That's all I can tell about your GC's, I do not know about other chips (not even sure which chip mine uses!).
Bert