Honestly, though, I don't see the Ham Radio connection in a conspiracy. Actually, I would think that it would be counter-productive.
Frankly, a good Internet connection through a VPN from a public hotspot would be better. If there was an absolute need to use radio, getting a used radio from EBay and operating it unlicensed makes better sense...using a digital mode on a non-standard frequency and a one-time pad encryption. Or they could use Slow Scan TV and embed coded text into the image using one of many steganography software packages out there and then post the steg'd picture to FakeBook.
For example, here's the original:
Here's the one with the secret message:
And the embedded text:
Support your local FReepathon
(If you want to try it yourself, download the second image, install the steghide package on your computer and do it yourself. The passphrase is "ThisIsATest")
Bottom line: you don't NEED to use ham radio to pass secret messages.