I'm not too concerned with place of origin or style of the tunes I get. They usually come from Ireland or Appalachia, sometimes Canada. This is traditional music in the sense that the tunes themselves are usually in the public domain and are rarely written by any one individual. Seek the same thing that those that played these tunes before you sought; don't change it from how it was previously played, but don't sound the same either.
The playing of a tune is an incarnation, a rendering that could come out different the next time around. If you have the sound in your head, sooner or later you'll find a way to do it. Melody and rhythm will always be paramount. I play what I can at (in) the moment and let the rest wait. Hopefully my skeletal, slowed-down arrangements only simplify the tune without actually taking anything away. I get more fun and satisfaction by playing that way, and that's what it's all about, right?