Robert,
I always found that staying a bit later tended to help me finish checking papers and planning lessons. Students tended to leave fairly quickly after class. Once I helped the ones who stayed, I had some uninterrupted time to get things done so that I was ready to go when I came in the next day.
It is also important to build reasonable expectations in your students. Next day is notalways reasonable.
I would tell them ahead of time when they should expect things to be graded and returned. If I told them three days, I mad sure they were ready to be returned in three days. They did not bug me about them until the date I said they would be returned.
It worked well for me.