It mostly depends on how you sleep on a plane, and that varies from person to person. When I travel back to the Midwest from Hawai'i, it's on a red eye and, at best, I doze. So I'm miserable that day back.
I don't do anything out of the ordinary that last day away, other than enjoy where I'm at. In your case, I'd definitely try to hit the parks for a while. (I mean, that's why you came, right?)
Doze on the plane, drink plenty of water, and do the bare minimum that first day. Unpack, restock groceries, etc. And plan to head to bed early in the evening. I've actually found that it does a hard reset on my system, and when I get up, I'm suddenly back on my home time zone again. I'd be REALLY careful about that drive home in terms of taking anything to help you sleep on the plane.