For those that consider low efficiency designs to inherantly suffer a dynamics penalty, I would recommend looking at an active setup.
By using an active crossover and individual amps for each driver, the amps can then be much, much smaller - and therefore potentially faster - because they are directly feeding only one driver, which is in turn handling only a subset of the entire frequency range. In addition, by putting the amps after the crossover, you don't have the crossover network absorbing power, and the damping factor for each amp is now uniform at the amp's maximum value across the entire frequency range of the connected driver. There are no passive crossover induced impedance variations. For a 3 way speaker, for example, you've electrically just created 3 single driver speakers.
Active systems tend to be known for their dynamics.
(Note that while an assumption of "larger = slower" and "smaller = faster" might reflect a general tendancy, I would never rely on that assumption to dictate which amps to dismiss without an audition.)