Most pleasure craft anchor in the inner cove at the NE corner to Foggy Bay.
However if this cove is full, and it often is at the beginning and end of the season when boats are arriving and departing from Alaska, then anchorage can be found in the SE corner. You need to go right in to the corner to escape from the swell, but once in there is reasonable protection from southerly winds.
Anchor in 15-20m of water with reasonable holding. 2 finger coves extend inland from the SE corner with piles and mooring buoys. These are very protected but are used extensively by the local fishing fleet