Even though these resorts are pretty close together (about a 5 min drive,) there doesn't seem to be a great way to get from place to place, does it?
If you take a bus to DHS and walk to the Beach Club, please keep in mind that it will take about 20-25 min just for the walk...or you can take the DHS boat to the Boardwalk area; I estimate that it would take close to the same amount of time, but at least you're not walking!
I'd spring for a taxi.