Some 6/8 tunes adapt better to clawhammer style than others. You have to reeducate your right hand a little. For each triplet, you play the first and third notes on a a down-pick (frail), and you fill in the middle note with whatever works -- hammer-on, pull-off, drop thumb, etc.
A few jigs which I've been able to work out as clawhammer tunes include "The Rakes of Kildare" (the first one I was successful with), "Swallow's Tail", "Blackthorn Stick", "I Lost My Love", "Atholl Highlanders" (really a march in 6/8).
Since taking up the octave mandolin, I tend to use it for jigs; the ones I frail are more like novelty items.
For the A minor tunes I raise the 4th and 5th strings a full tone from G tuning.