7th fret, Clinton... ;-)

The only thing that holds one back in DAGDAD, is one's imagination.
As you're only 'suggesting' chords, at the best of times, you tend to think in different terms.
Especially when accompanying Irish Trad.
The nuances within the melody are more accurately reflected, IMO, by its modal undertones.

.... thinking of writing a song about Iraq, and doing it in the BAGDAD tuning ....

B.