Several of my favorite references say that the "intervals" between notes in much oriental (or non-"Western" in general) music do not correspond to our conventional spacings, so there is a good possibility that you'd need to "move the frets" to play accurately.

None of my home sources give much information on how "exotic" scales match up to where the frets would be on your dulcimer.

You may be able to work out whether you could play the notes needed for a piece you have in mind from info at More Exotic Scales, or the related/adjacent pages.

If you find you'd have to get a new dulcimer with the frets re-spaced, you might find it cheaper to get a 'trad' oriental instrument to play that music.

The only "educational resource" hit I got on a brief search was at J.M. Oriental Arts. Their standard courses look a little expensive, but if you poke around the site you might turn up some leads to other places to look.

I'm not sure what the purpose is for the page at Johnson", but there are some performers(?) listed as "incorporating oriental [stuff] into performance using western instruments. Searching on a few names might(?) turn up some additional connections with what you're proposing to do.

John