I'm having a little difficulty with your use of the term "digital" to describe the sound. I assume you mean "dull", "sterile", and "bland". Is there more to it than that? Regardless of how your recording sounds, does the piano/amp combination sound good to your ears when you hear it "live"? If not, you're fighting an uphill battle.
Also, you mention that the sound is "distant". Micing an amp can be tricky. You may be hearing the effects of phase cancellation between the mics. Does either mic sound OK on its own?