As I have probably bored you all to death by saying, I am half Scottish, so - if I was harmonising this:
- Firstly I would find it hard. Advice to use a chord that "sounds right to you" is all well and good, but firstly I don't have a great ear for harmony, second I just haven't had the exposure to those chord sequences that other people may have done. So around the time I was becoming an adult there was a lot of (brilliant) music around which just didn't rely on the kind of chord sequences that sound standard to some people, and that's what I got used to. This is why written chord symbols are very useful to me, even though I know better than to worship them. And also why Donn's framework is very useful for me.
- Secondly to match the kind of Scottish music I am familiar with I would definitely put in the minor chords, but not too many, so maybe the Em's in Donn's suggestions. Then I would use some dom7 chords esp at the ends of phrases etc. Then I would use some counterbasses, alternating basses, bass runs to keep the flow going. And that would really be by ear according to what kind of flow sounded right to me because I would feel more able to judge that "melodic" side of bass playing. But someone that knows the music better could set me straight.
- Even if I was interested in an older style of Scottish music I think I would follow a similar approach. The William Hannah recordings that I've heard are accompanied by piano and use these sorts of options. But again, no doubt an expert could set me straight.
- Then there are other Scottish styles that I am not so famililar with. On The Accordion Forum, a collector of old recordings (wax cylinders and the like) posted a really old recording of Peter Wyper playing Scottish dance music. It was unaccompanied and the style of playing was like a very powerfully played fiddle. I thought it was great and a real breath of fresh air, it's a shame I can't find the site. But anyway, that is moving away from what the question was about.