Peter,
I never think of biamping as a means of delivering more juice. Rather, I find that the biggest advantage derived from biamping is a significant increase in liveliness and microdynamics at lower volume. But, biamping is quite a complicated subject and good results can be quite tricky to achieve. I personally like the results I've heard from active biamping (a dedicated crossover that splits the signal at the line level before the signal is amplified by separate amplifiers). But, even when this was being done by someone who is experienced, it took a lot of experimentation and changes to the design of the crossover and even the amps to get optimal results. When not done right, the drivers don't blend correctly.
I think the better first course is to get amps suited to the particular speakers that you like/own. I would be less concerned with the operating type -- SET, or pushpull, etc.. I own an expensive SET, but, I don't think they are necessarily the best amps, and this is the case even with the fairly high efficiency speakers I own. I have heard some fantastic pushpull amps (e.g., 60-year old Western Electric amps) as well as several fantastic OTL amps (incredibly lively and upbeat sounding).
I know that getting enough power to properly drive a system is an important consideration. But, sometimes too much emphasis is placed on power. I have seen people pursue more and more power because something is lacking in the sound and they do not quite connect completely with the music/performance; these people think more power will do it. I have found that whenever I have made the right choice in improving my system, I tend to listen at lower volume than before -- I don't need volume to compensate for something else that is lacking. Good systems resolve musical detail, harmonic structure, etc. at low volume.