We don't have synonyms for beauty sleeps yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are beauty sleep.
(n) :
(uncountable, chiefly humorous) Extra sleep; also (generally), any sleep; (countable) an instance of this; an extra nap.
(n) :
(uncountable) Originally, sleep taken before midnight, on the belief that early sleep hours conduce to beauty and health; now (chiefly humorous), sleep at any time needed by one to stay beautiful; (countable) an instance of such sleep.
(n) :
(uncountable, chiefly humorous) Extra sleep; also (generally), any sleep; (countable) an instance of this; an extra nap.
(n) :
(uncountable) Originally, sleep taken before midnight, on the belief that early sleep hours conduce to beauty and health; now (chiefly humorous), sleep at any time needed by one to stay beautiful; (countable) an instance of such sleep.