For me, 16ths would be too much, I think. I'd probably play a groove based on 8ths on the hi-hat, ghosting between backbeats on the snare, BD syncopated (1, 1&, 2uh, 3&), and perhaps embellish the groove with some tasty Carter Beauford-esque hi-hat flourishes with the left hand from time to time.

If I did choose to play 16ths, I'd play them in one hand (the song is slow enough for that) and alternate normal and unaccented notes. It wouldn't feel good all played at the same dynamic level.