yeah we are looking at AirBnBs in/near Bellagio. Found one right across the lake from it that is nice and another a couple miles south. Had a third one I was looking at in the center of Bellagio that got booked up for our dates a couple days ago. The ones a little further out seem to be nicer, have awesome lake views, and may just have a more authentic experience to provide but I'd love to hear your thoughts if you've been there.
Only in Milan for a few days, didn't find much to do there, so took a day trip out to Bellagio, was the highlight of the area, I'm sure you'll enjoy yourself there.