The ohlins unit for the SS is DU235. It's quite a tight fit under the tank so the resevoir is mounted at exactly the right angle, so I'd be careful buying others and hoping they fit. I know someone here bought a MH1000ie ohlins for DD and it didn't fit.
As MLC says, there's no point whatsoever buying a new shock if it isn't set up correctly for you and the bike.
Ali