"Pale, pubescent beasts,
roam through the streets"
So, there's the "eeee" sound and the "sts", but the word "streets" has a sort of sibilant ending, but it's different. The pure rhyme for "beasts" might be "yeasts" or "feasts". Yet, I don't seem to mind. In the song "Come Home Billy Bird", there's a load of these misformed rhymes, until the very denouement of the song, where the rhymes go pure. I don't know if Mr Hannon intentionally sets his lyrics against the grain of the perfect rhyme in some places, maybe in "Come Home..." he's doing it to represent the stress of the "international business traveller". Maybe not.
Anyway, I like The Divine Comedy, and anyone who doesn't is wrong.