Well, for a lead, you can get suprisingly close to a sitar or even closer to a sarod simply with your phrasing on either a peizo electric or an electric acoustic. Suggested listening: Ustad Ali Akbar Khan's "three Ragas." Killer sarod playing- the first raga has an outro where the sarod and tabla start trading phrases, and it's just INSANE. Buy it, listen to it, then try to capture the phrasing. then listen to Satch's live intro to "Cool #9" on the G3 disc and be floored how much his phrasing owes to this stuff on that tune.
not what you're looking for, perhaps, but worth exploring anyway, especially if you find something down the road that nails that tone.