The cool song from the trailer finally identified!
Highly atmospheric tune but there's nothing on it on the web.
It plays constantly in the background in this version of the trailer:
https://www.youtube.com/watch?v=u_M8TFULQRA
EDIT:
Finally found it! It's this one:
Bob Bradley, Nick McEnally, Matt Sanchez, Giuseppe De Luca - Walking Over Me
https://www.youtube.com/watch?v=bUmmi8A08YI