I would either learn to listen always at moderate levels even if the dynamics of the recording want to go high, or look for another pair of speakers once again. And that is going to be challenging.
Kurt,
Challenging in consumer audio yes - because such high SPL is not normally required. Costly speaker drivers must compete with nice finish and elegant woodworking - factors that are much more likely to be appreciated by an aesthetic conscious consumer. You are simply discovering the physical limitations of most low cost consumer speaker driver designs: drivers that were never intended to produce extremely high SPL's cleanly and without harsh distortion. If you continue down the path of eeking out high SPL's from designs that were never intended to play so loud then you will likely end up being the unhappy owner of a blown speaker.
My advice is to look for far-field speaker designs used by professionals for monitoring in studios rather than consumer designs. Studios deal with real live music every day (before it is compressed for distribution to consumers for home/car/personal audio systems) - they also have similar accuracy requirements shared by audiophiles (unlike most nightclubs, stadium and DJ/PA speaker customers who will forgo quality for the sake of loudness).