In the end, I achieved a rather fitting sound design. At times I would use whole pieces, other times I would loop three or four measures together to create a desired mood. On top of everything, I layered birds and crickets for the outdoor scenes. Titania lived near a brook, so the audience could hear running water coming from the background, and when the Fairy Queen became angry, she was accompanied with thunder and lightning. The "Forgeries of Jealousy" speech was particularly spectacular, as each line brought on a different effect; waves rushed from either side of the stage as Titania mentioned the sea, and the winds would howl as she mentioned winter and frost.
Stravinski's music is difficult to get a hold of on the net. While I could not find any exerpts from "Apollonia," I did manage to locate "Rite of Spring," which gives a good feel for the magic and the lyricality of Midsummer Night's Dream.