There are few inexpensive guesthouses located not far from the beach in the village of Rock Sound
. Find hotels in Whiteland
How to get there 
Fly to Nassau International Airport
. Next fly to Eleuthera island to Governor's Harbour Airport (GHB)
(there are also some international flights to this airport). Next hire a taxi.
It is also possible to get to Eleuthera island by ferry. For example Bahamas Ferries
serves routes from capital Nassau island to Governor's Harbour
port of Eleuthera island. Find flights to Whiteland
When to go 
Any time, except for the rainy season. The strongest rains are in June, August and September.
Water temperature, C
Wind speed, meter/sec