There is a TSB for a timing chain issue on the early ('11-12) Coyote motors that causes a clacking sort of noise at lower RPMs. It may be that.
...What?
The early Coyote engines were trash, they were always having issues with out of round cylinders. Still the reason I don't mess with them. They're like a Nissan, either they run forever with zero issues or the are junk.
...What?