It's a tricky one. Sending them in the post later seems a bit joyless, and obviously a football match can't work like the Olympics where they all come out a couple of hours later for the medal ceremony.
To be honest, part of the problem is that they have to wait around so bleeding long these days! In the old days, about five minutes after the match, the runners up would get their medals, the winners would get theirs, the trophy would be presented and everyone would go on their way. Whole thing would take about five minutes.
The thing I've always found to be utterly pointless is the third place play-off. A match that nobody really cares about, and which the two teams playing in are massively disappointed to be in. A total waste of time.