I hope you are aware of the fact that FAAC is supposed to be "not mature and tuned yet".
If you want to play around with mp4/AAC a little, get the Nero 5.5.10.35 demo with mp4 encoder (50 encodes trial), and use the VBR presets with high quality

I did a few quick checks for the lowpass thing in Cool Edit, nero VBR normal::high seems to have a first "regular" lowpass at 18KHz, a second very strong one at 20 Khz and some very few freqs even go up to full CD audio spectrum. Looks very nice

EDIT: before I get bashed, spectral graphs say not much about audible quality. BladeEnc also encodes full spectrum at 128k mp3

I mentioned it because you asked, I guess..