I've been trying a technique where I side chain dialog (or whatever, another sound effect maybe) into a gate that's controlling the envelope of a static sound (like wind, a waterfall, a drone, etc). It's a quick way to match the rhythm of whatever you're feeding the side chain. In the case of dialog, once you futz with the attack and release times it provides a nice vocal quality to the designed sound.
I've done this in the past with creature sounds that didn't quite have enough " it " to them. Made a roar that just felt flat, side-chained a bird call into it so it fluttered a bit and it was perfect. Could be effective.