Omg I have no idea, I'm in the same situation. At least I could actually keep DD1 asleep in the sling, not DD2!! Lucky if I get 40mins.
It's nuts huh? The sling was my savior with my first baby but second one is less thrilled. He lasts 20mins tops in the sling.

I'm trying stuffed toys at the moment - do you think she might start sensing my desperation?
This made me laugh! I've been the same... "here's a cuddly blanket, or look, how about this musical pull toy, anything!" I've been thinking I'll get him a sleep toy lovey... you know, like the ones Tizzie Hall sells on her website