Is it due to the 140BPM speed? The certain rhythmic exchange of motion? Or some other reason? Is there a specific in universe reason the giant spiders specifically like Stormzy's grime music?
They don't specifically like Stormzy or grime music in particular; they just gravitate to their food through vibrations as is mentioned by the Doctor. This makes sense as normal spiders move to the food on their webs when they sense the vibrations of something getting caught in them.
Doctor: Spiders gravitate to their food through vibration.
Doctor Who, Season 11 Episode 4, "Arachnids in the UK"
In actual fact they weren't even putting Stormzy on, on purpose, they put a radio station on: Raze FM. Just to be specific the track that is played is "Know Me From" so obviously Ryan wasn't targeting it specifically.
Doctor: Any ideas?
Ryan: Easy. Raze. Am I right?
Yaz: I don't know what you're saying.
Ryan: Yaz, you're so uncool right now.
Of course grime music and Raze FM was chosen by Ryan and it is fitting with his character that he would choose this sort of music.