Bouzouki backing in D-mix
I’m looking for help and inspiration when backing tunes in "D-mix". I know there are more proper ways of describing it but what I mean is tunes based around D and C that are neither major nor minor. Example "Rakish Paddy" or "the Old Bush".
I play bouzouki tuned GDAD and i find myself mostly using this cords : 7 7 0 0, 5 5 0 0 and some 2 2 0 0 this would then be D, C and A respectively leaving the two top strings as drones. I find this working fine especially as the tunes often are based close to the root. My problem arises when there is a set with more then one D-mix after each other or when one or more melody-player/players at a session plays a number of this type of tunes and I am stuck with a very limited "tool box" for backing them.
I am not looking to over do it and by that ruin the tune but I believe that if you have a bigger "tool box" you also have the ability to enhance the melody in a better way.
Can you help me? Is there anyone here sitting on nice chords, cord-progressions or counter melodies that suites this type of tunes?