The problem of getting the bass excursion off of the drivers is the same as it is for many less efficient speakers. If you put the crossover frequency too low, the cap needed to do the job is large and expensive and pretty well guaranteed to mess with the sound. So some designers build a small box around the backside of the driver so as to mechanically limit the excursion. That means that driver is in parallel with the bass driver which might be crossed over using a choke.
This doesn't work so well if your intended market is lower powered amps with no feedback. The problem is that the speaker is likely going to be 4 Ohms and that can knock out an octave of bass response in the output transformer just moving to the 4 Ohm tap.
So the woofer (or subwoofer) should be self-powered to avoid this latter situation, which likely would get you more bass extension than any SET could ever muster.
OTOH if you really were going to use a crossover, most larger drivers like a 15" have no problem going to 500 or 800Hz. That's why speakers using a 500 or 800Hz horn are often seen with 15" woofers. The capacitors needed in the crossover need not be so profound. Of course if you did this with a 'full range' driver you wouldn't need it to be much more than 5 or 6 inches in diameter.