Here's the final backing track.
The changes are as follows:-
||: AmMaj9 / / / | / / / / | Bbm7b5nat9 / / / | / / / / | Dmaj7#5 / / / | / / / / | Cmaj9 / / / | / / / / :||
Use A melodic minor over the AmMaj9 chord
Use Bb Locrian natural 9 over the Bbm7b5nat9 chord
Use D lydian augmented over the Dmaj7#5 chord
Use C major/lydian over the Cmaj9 chord
Try continuous scale exercises, motif playing and free improvisation.
Good luck!