I would not at all be concerned with the speed of the tube amp "keeping up" with the solid state amp. This is silly! A number of us seek a tube amp because it creates a 3-dimensionality, a harmonic richness and and natural decay of notes that even the best of the solid state amps can not produce. For the most part, such tube amps do very well in all but the bottom 1 to 1 1/2 octaves. If the crossover is used to biamp with a subwoofer, say at 60hz or even 80hz or so, the situation will have more to do with level matching, i.e, not be so eager to turn up the sub's level beyond a natural level. If the crossover is more like the upper bass / lower mids, then the slopes/crossover points are far more critical than the "speed" of the amps. The tonality differences of the amps will be more pronounced. So the thing to do here is focus on getting a tube amp that really puts a smile on your face and then find a solid state amp to match the tonality.....not find a tube amp to match your solid state amp!
John
John