What exactly is the best or most accurate way to convert alternate tuning guitar tab to piano? Specifically CGCFAD tuning (see details)?

The problem you may be having is that the chords could be major, minor, diminished, or augmented. But from the information that you have given it would seem that all the chords are major. Though that is unlikely.

When you are transcribing from guitar to piano the notes should stay the same becuase they are both "C" instruments no matter the tunning of the guitar strings. When playing the chords on piano make sure the notes are right and then start inverting them to find the best sound. The third or the fifth of the chord is usually a good bass note to try when transferring from guitar.

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