Tricky. If this weren't his last year where he is, I'd be saying do consider the purely play-based alternative, but it seems unlikely to be worth moving him now only to move him again, doesn't it? Or does he take to new situations like a duck to water unlike mine, in which case might be worth thinking whether it's really too inconvenient and expensive, or not.
Could he maybe: write himself a sheet of sums, and then do it, instead of some of these activities? Read a book quietly? Think of the longest word he can/a word that begins with A and ends with T or whatever?
Make sure you're not over-interpreting, too - could it be that the running game is what he was really upset about and the other stuff very minor really in how much it bothers him? Sometimes when we're waiting for a problem to appear we can leap on it with too much enthusiasm...
