If you were to take the cushions outside and blast them with a pressure washer, squish out as much water as you can, and set them in a breezy location, you should be able to dry them out before mold sets in. Yeah, that's what I would do. (with your cushions, that is)
I would also think that a using a tough 60 grit sandpaper to remove the stains, followed by a sanding with 120 grit should clean that there sink up just dandy.
2017 Escape 5.0 TA (someday soon, I hope
2015 Ford F150 Lariat 3.5L EcoBoost
2009 Escape 19 (previous)
“Most folks are about as happy as they make up their minds to be.” — Abraham Lincoln