Chalk this one up to inexperience. As we started outlining specific plans for trains to get around during our Europe trip, I realized I had not considered that it might be difficult to get to the Airport from Rome at such an early time. It appears there may be a shuttle service but I haven't been able to lock down the details of how it works and it didn't seem to run anywhere near Ostiense. It looks like maybe I could take a bus or cab to Roma Termini and then maybe catch something quicker down to the Airport?
Maybe better to rebook the last night closer to the Airport?