So I looked into what was causing this poor cone behavior. As it turns out, it starts where the cone meets the surround--the rim resonance. That's where the cone starts to flip out and behave in erratically. So in order to raise the frequency when this starts to happen, the cone needs to be stronger. So I painted a few layers of Mod Podge Hard Coat to the cone and waited overnight to take the measurements shown to the left. You can see the rim resonance is higher and the impulse is more compact.
interesting references:
http://madspeaker.com/page2.html
http://voicecoilmagazine.com/media/klasco409.pdf
http://www.vibroacoustics.co.uk/audio/fsacbens.htm
http://www.nutshellhifi.com/library/speaker-design2.html
http://www.loudsoft.com/default.asp?site=FINECone.asp
http://www.klippel.de/measurements/sound-radiation-and-propagation.html
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