GT/22: http://www.rjmmusic.com/mastermind-gt-22/
Axe-FX III: https://www.fractalaudio.com/iii/
EBMM Albert Lee HH: https://www.music-man.com/instruments/guitars/albert-lee
Austin Buddy Presets: https://austinbuddy.com/products/1000-naked-amps-tonepack-for-the-axe-fx-iii/
There are several options for foot control of the Axe-FX III. Here is a look at the big daddy, the RJM Mastermind GT22. RJM say that the GT/22 is "The most advanced and versatile MIDI controller pedal ever created" and I have to agree with them. It's a behemoth in both capability and scope. I've only touched the surface here, but I hope you get the idea. More soon and as discover its vast potential.
Thanks to Ron Menelli, Buddy Gill, Fractal Audio, Andrew Farnham, Carole Johnston and Ernie Ball Music Man.