Good luck with getting any sleep for awhile. If your baby is anything like my twin daughters, you may not get much, (sleep that is

).
My girls were 'preemies' and consequently spent some time in the hospital. The routine there was that they slept during the day and were up most of the night. No problem if you're a nurse on shift, but it wrecked havoc once home on the sleep routine.
So, practicing at five in the morning may not be a problem. Maybe you'll start a new routine pratice time of 1 to 3:30 AM!

allthumbs
PS- My girls are almost 22 years old now and I still lose sleep over them.
Good luck!