Not exactly sure what you're looking for in a small mixer but if you want a nice inexpensive interface between your computer, Axe-Fx II and monitors, this is one I'm using:
Alesis iO2 Express Audio interface - 48 kHz - 24-bit
M-Audio recently came out with the M-Track. If you look at the iO2 Express and the M-Track side by side, they're basically the same unit, so I guess there's some sort of relationship between the 2 companies. For $79 out the door, the iO2 is hard to beat! Even handles MIDI (I use it for firmware updates to my MFC-101) and has a decent headphone amp incorporated into it. The computer interface allows me to play along with backing tracks from Windows Media Player.
If you're looking to mix more stuff (mics, drum machine, etc.), the small Behringer mixers are great and very affordable too.