Would it surprise you to know that all U.S. postal mail is also being monitored and recorded? [1] As soon as they see something addressed to a known WL address they will trace it back, find where it was sent from, find out the serial number of the sd card, get the shop where it was bought, etc. You wouldn't want that kind of attention. And if you don't have a private channel to WL you could only use their public addresses by definition, which would be guaranteed to be heavily monitored.
This is why I consider a working public steganography protocol so important. Using a very short message you could arrange the sd card to be dropped at some random place and know that somebody would come back in a couple of days to retrieve it. Encoded with ordinary simple text, using messages of typical lengths on popular, public websites. There are just too little bits of encoded information there to be statistically significant.
I'm not so worried about statistical analysis of how natural sounding or typical or expected the text you're producing is, as it would be a very difficult problem considering it requires a good understanding of natural languages to be done well automatically. What would be really problematic is that WL may very well be infiltrated and the private key compromised. Then you would be really screwed.
[1] http://www.nytimes.com/2013/07/04/us/monitoring-of-snail-mai...