Batman was able to kill clones of Doomsday with just random weapons that were available on Paradise Island.
The Creeper would meet his end at the hands of Batman, who would definitely be able to incapacitate him to the point where he would be able to take him to the Batcave and study.
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"Why is everybody so ****ing stupid?"- Kim Jong Il, Team America.
This. Comic/animated Batman takes The Creeper down with ease like it's Tuesday.
On the movie side of things:
- Adam West Batman could do something outlandish like the aforementioned anti-Creeper spray.
- Composite Burton-Schumaker Batman and Batfleck could potentially get a win by leading with their vehicles. Batfleck did run interference on Doomsday and have enough traps for Cavillman in BvS that he could outsmart and out-tech The Creeper till he goes to sleep again.
- I don't see Baleman winning period.