We did exactly this at Sibley, and it was awesome. I felt like we were able to get the right mix of bonding and rest. I found the Sibley nurses were really accomodating -- they brought DD to me to nurse when she was hungry at night and were happy to take her to the nursery when I called so I could get some sleep. During the day, I had her with me so we could all bond and hang out together. But when I was ready to sleep . . . bye bye!
Oh, and the nurses changed every single diaper while we were there. Loved it!
You lucky, lucky woman! WTH, when I delivered at Sibley in Feb 08 (due to deliver in a few weeks there again) I literally had to beg the nurses to take DD my last night, by wheeling her to them. I didn't get any sleep while I was there in the two days (probably about 6 hours combined, seriously) and DH didn't stay the night with me either. When the nurses did take DD they brought her back within an hour and a half. I was a mess - thankfully DD pediatrician saw how sleep deprived I was and that DD wasn't thriving as I wasn't producing enough milk since I wasn't sleeping/eating or drinking and yelled at DH.