10 is still a pretty limited number. I can use 8 just for basic amp settings (two gains, master, level, bass, middle, treble, presence). You can cut that down by a few but it still means you only have a couple of params left for controlling some effect. I'd raise this to something like 20 because that gives you enough room for controlling amp settings and a few fx blocks comfortably.
This is based on the software I'm working on for the Axe-Fx 2 where I use a 17 knob MIDI controller to adjust Axe-Fx 2 parameters.
I don't know if the Axe 3 already does this but it should be possible to assign external controllers to any fx block parameter (vs the artificial limitations on the Axe-Fx 2). Then you could simply hook up a MIDI knob controller and bam, you have a ton of knobs for on the fly adjustment.