We don't have synonyms for hound dog yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are house dog.
"1953/6: Jerry Leiber and Mike Stoller, '''' (song made famous by Elvis Presley with these revised words in 1956) - You ain't nothin' but a hound dog, Cryin' all the time. Well, you ain't never caught a rabbit And you ain't no friend of mine."
"1953/6: Jerry Leiber and Mike Stoller, '''' (song made famous by Elvis Presley with these revised words in 1956) - You ain't nothin' but a hound dog, Cryin' all the time. Well, you ain't never caught a rabbit And you ain't no friend of mine."