At that time of year, Horny Toad Guesthouse might do short stays. It's quaint and right on the beach. You can walk to Karakter although I wouldn't walk there at night. During the day, it's fine.
Another place is Turquoise Shell Inn. It's across the street from Simpson Beach and has a pool.
Although I haven't stayed there, Mary's Boon is also on the beach and is next door to Karakter.