I just looked at a couple of players who have played hundreds of games and clicked on Hypergammon in their profile. The game list includes the number of moves.
I know it's tempting to think that a technical solution is the only way, but sometimes good old brainpower and elbow grease does the trick.
(hide) Play a game in real time with an online opponent! For this to be possible, you and your opponent have to select the action "Move and stay here" as default and then reload the page with the F5 key! (TeamBundy) (show all tips)