Rather than trying to put her to sleep in the bassinet can you leave her on you so she gets a good sleep. We have heaps of photos where either DH or i are comfortably laying back with bub asleep on our chests. You can work out the basinet sleeping later (when you have both had some sleep).

I feed laying down like BG described, and then my arm is cocconed around bub and we both fall asleep. My plan wsasn't to co-sleep (and at the start i didn't do it all the time) but sometimes you just need sleep and it was the best way for me to get it.