I think first, the question is "what do you want to get out of this upgrade"? The answer to that question will inform what you will get. Do you like what the L700mk2 provides, but just want it a bit better? Or do you want a different sound from what the L700 provides? If you're going for the first, then probably getting a better energizer is the path to go. Electrostatics benefit more from amps than normal headphones, so you'd probably get good results from a higher-powered amp, possibly a tube amp too. It depends on what sound qualities you want more of. If you want more punch, more bass slam, and more control over the treble, perhaps a solid-state amp or a CCS-equipped/modded tube amp (e.g. from Mjolnir Audio) would be best. If you want a smoother and softer sound to mellow out the L700, then an unmodded tube amp from Stax could fit the bill.
If you want a different sound, then maybe an upgrade to your headphones would be more suited, but note that the higher-end Stax models, particularly the 007, are more demanding on amps than your L700. So you might want an amp upgrade first, if just to prepare the stage for the high-end Stax models. Then the question of headphone becomes what you want from that headphone. I haven't heard the TOTL Stax models myself, but from what people say, the 009 is more similar in sound to the L700, so if you want the same bright sound that the L700 provides, but with more detail, then the 009 is the upgrade path. But if you want a warmer sound, with more bass and less treble, then the 007 is the path forward. Note that you probably won't get the same soundstage in the round Stax. The rectangular and angled Lambda-style housing of the L700 produces a very unusual soundstage that I haven't noticed in the round-earcup electrostatic headphones that I have tried.