You can try the vacuum idea, or pour some borax down there to join it. Or hey, stuff the hole afterwards to keep the smell out. Even plaster it over.
To be very morbid, the smell should disappate soon, if there is no way to remove it. A starling hasn't a lot of body mass, and it should soon dry up. Sorry, no non-ewww way to say that.
Sometimes birds are... birdbrains, sorry couldn't resist.
wolfy(who very much hopes something helped.)