To experiment with "sweeping strings and droning organs" have you tried turning down the tempo on Marbles and using a longer envelope on Plaits (I think you adjust the envelope with left button + morph, but it is in the manual)? Run some slow modulation (either directly from Marbles or through the slew) to the oscillator, and see where that takes you.

If that doesn't do it, I would look at a reverb / looping delay effect (I don't remember, if the Disting does that)