For this reason alone (the possibility of appeal on a final play), I've never subscribed to the "Get the heck off the field asap" theory I've seen others mention. My end-of-game routine is always very much the same from game to game, and allows the defense the opportunity to make me aware they have something to appeal.
I get together with my partner, examine any leftover softballs to see if they should be given to a coach or reused, maybe discuss a play or a mechanic that's fresh on my mind (keep in mind I'm responsible for training in my area too...), and then walk together out the winning team's dugout.
This usually takes about 15 seconds (not that far from the "Get the heck out" folks), but gives enough time on-field for an appeal to happen.