The problem for censors is that there is not such thing as optimal compression for a given stream, since the optimality of a given compression codec is a probabilistic function of all data streams that could feasibly be compressed with the given codec.
What do I mean by this? Inoptimality is fundamentally immeasurable (even when a more optimal version is feasibly calculable, it may be inefficient to utilise it due to the increased complexity involved in encoding or decoding - and the possible reasons behind any given encoding choice are indistinguisable from each other), so a sliver of a data stream could potentially be utilised to package encrypted data in a manner that is fundamentally indistinguishable from encoding inoptimalities.
In a world where a huge amount of out data is ultra-high bandwidth multimedia content couple with personal super-computers, crytographically indistinguisable steganographic communication channels of a more than useful bandwidth are well within the realms of feasibility.
You can have perfect steganography but as soon as a government informant says they got contraband data from you people are going to jail or worse. Similarly, all of the plausible deniability in the world won't help if they compromise your system and record you accessing that data.
Among other things, this kills widespread underground media dissemination because as the number of people increases the odds approach certainty that state actors will learn how to access it, and the risk to users increases constantly – how well do you really know the person who hooked you up with an invite code? Is the P2P node you're connecting to anything other than a honeypot? The hottie you hooked up with last night – really into you or just installing malware on your computers and mapping out your social network?
(Lest you think that's a stretch, consider e.g. http://www.bbc.com/news/magazine-29743857 and ask whether the Chinese government is more or less concerned with activists)
But I think that you're underestimating the power of the mathematics here in terms of the levels of achievable misdirection.
If the government gets into your unencrypted context you're pretty much fucked - I'll give you that - but it does not necessarily mean that anyone else is going down with you.
Let's say you have an unencrypted piece of data telling you that the XOR of the least significant bits of a multitude of data streams contains secret data and a descriptor for the next source node. Most of the data streams will be completely innocent. Even once I extract that data I'll have no idea where the contraband information came from.
This naturally further reduces your bandwidth, and you'll need the streams to contain content that non-dissidents have a decent chance of downloading together by pure chance to reduce suspicion.
There are huge difficulties - but that does not come close to meaning that nothing can be done.
The other problem is trust: you said you'd have no idea where the key came from. Ignoring the high possibility of the state recording enough history to answer that question, the bigger risk is active subversion: using that software is evidence that you're trying to evade surveillance, which is risky no matter how warranted, and making those requests is clear proof that you're doing so. The hardest problem here would be detecting moles and honeypots: secret police distribute software versions which leaks your activity to them, distribute keys online and in person, etc. They're not going to arrest you as soon as you install it but will wait, possibly for years, seeing who else your activity links in.
Absolute trust is fundamentally impossible (the place where there is no darkness is a legitimate concern here). How do you even know that the public keys on your machines are true, that the hashes of your OS ISOs are not false, that every semblance of the assumption of security that you are working within is not simply a cleverly laid trap designed to lead you to naively reveal your hitherto hidden intentions?
Eventually, you just have to run with "fuck it, I'll do what I can to cover my arse - let the chips fall where they may".
The fact that it is fundamentally impossible to know the underlying intention of any foreign consciousness or computational context does not necessarily mean that none can ever be trusted, only that they can never be fully trusted - and that you should use whatever degree of caution you believe is justified for the given situation.
The problem I'm concerned with is the promise: tell people that something like this works and they are likely to trust it – at least until news spreads about other people getting caught by basic statistical traffic analysis. This is basically the Bitcoin anonymity trap: the marketing guys like to run around telling people it's anonymous and people often miss the distinction that any mistake will cause it to fail open with a full public history.