Interesting setup. First, nothing in the AIM requires filing over an IAF, however good a practice it might be. It was US Mil practice to do so, in fact, the book directed just that in the past.
That said, only the runway 24 has approaches that can be flown non-radar, which NORDO, you are. You certainly could file over WEIDS just to sure and ATC won't mind, they'll vector to the approach in use. If you didn't, ATC would have to expect you to fly over CXR and WEIDS to join one of the approaches.
GF