Without wanting to derail the thread, I've never understood what "sounds digital" really means, but I suspect it means different things to different people, so I urge you to post again with exactly what it is about your sound you don't like. Too much highs? Not enough mids (thin sound)? Flubbly bass? Harsh distortion? etc. Also, what are you using to listen to your AxeFX - headphones? studio monitors, FRFR, guitar cab?
Most people use the phrase "digital sound" to imply something undesirable, but fwiw, here are some attributes of digital sound:
(1) High quality digital processing can reproduce analog sound exactly. Not a close approximation - identical.
(2) Digital processing has a wider and flatter frequency response than most analog gear, certainly more than typical guitar stomp boxes, amps and cabs.
(3) Ditto for dynamic range.
So if you perceive something bad in your tone, it may be related to the more powerful capabilities of digital processing.