Oh, it occurred to me that when piping your audio directly into the modulation stage of a rig, there's one more limiting factor you may need to take into account: IF filtering.
Previously, JoeDirt mentioned the Galaxy 88. It looks like this radio uses an AN612 balanced modulator, like a lot of SSB rigs (even some ham rigs). If I'm reading things right, then immediately after the modulation stage and before the mixer stage there's a 10.695Mhz crystal filter. I'm not exactly sure what the pass band width of this filter is -- I think it's about 4Khz. If so, and if the transmitted signal goes through this filter, it will limit the TX audio response too. Bypassing it during transmit may improve things for AM, though I'm not sure it's a good idea for SSB.
-Bill
Hummm I will have to look into that, I am getting 7khz out of the radio pretty easy but I usually limit it to 5khz for harmonics.