There are excellent SS amps that can deal with the ESL loads; my favorite is an amp designed by an ESL designer, the
Sanders ESL amp. Which as the name implies, works great on panels. It even handles the torture test I give it, which is driving MartinLogans largest ESL panel ever (Monolith/Neolith), directly, with nothing between the amp outputs and the step-up transformer.
The Sanders Magtech amp works very well with dynamic drivers (as well as ESL), so I'd use that on the low-end.
For a CLX, the ideal amp would be the Sanders Magtech mono, one per speaker.
Now, you asked for "give the best bass", and I can tell you, an amp alone is not enough, as room placement typically has a much more significant effect on bass. Especially for gen1 designs, augmentation with a subwoofer or two is always beneficial, as relieving the hybrid ESL woofer from low-end duties helps clean up the mid-bass quality.