That's a good one! I like it! The composition provides a lot of different strategies to outline the changes in harmonically interesting ways. Another one I've been using is different arpeggios using inversions of chords from the same family:funny, I do a similar thing, but start on the 5th of the first chord and going scale-wise downwards end on 1st of the second chord. if you start on a C in thumb position: C Bb A G | Gb F Eb Db | etc., you can easily cover 6 bars of the A part and arrive just in time to do some chordal variance on last two bars... carry on, as you were.
A-7 or D-7 for F Major and Eb- or BMaj7 for Gb7 in Monk's version, for instance.