I'm not sure if you amplifier is powerful enough or not, but to get a worthwhile increase in power output, you'll need to spend a lot on a new amplifier. I mean, to get up to 110 dB sitting quite far away you'll need at least 200 watts, assuming the speakers have a quite common sensitivity of ~90 dB. I doubt whether such a powerful amplifier is worth getting, in terms of value for money. You could spend that money on a pair of more efficient and sensitive speakers. Horn-loaded designs are more efficient, which Klipsch used to do. I saw some top-end Tannoy studio monitors (horn-loaded) which have a sensitivity of 104 dB. Another thing is that I doubt less efficient/sensitive speakers will sound very nice being played so loud even on unclipped material.
I believe one of the reasons for getting very powerful amplifiers is to stop the tweeters on the speakers blowing out. In studios, where they deal with uncompressed recordings, they have very powerful amps for this reason. In terms of sound quality, human hearing cannot detect clipping if it occurs in very short segments, which it usually does. It's more to do with protecting your speakers.