Bus from CSR to Studios. Take the boat from Studios to Yacht/Beach (I believe it is the third stop). You could also walk from Studios to Beach Club if you feel like walking. Take the walking path from Studios to Boardwalk. Cut through the Boardwalk pool area (the pool that looks like a roller coaster) and walk from Boardwalk toward Epcot. Go over the bridge to Beach Club.
The boat would likely take around 20 minutes, not including possible waiting time for one to arrive at Studios.