Isn’t the 135 operator going to put you through training? At the smaller 135s the check airman most likely won’t be a DE so they would had to get a Fed to ride along. If they can’t do that find a flight school with another II/MEI. Probably a smaller part 61 school. A co-worker years ago called an ATP flight school location to get his ATP. The reply was that they didn’t do ATP level training.