Another chunk of stuff that's basically off-topic.
Note that it does just define away the dilemma: Good > Law. So, there's no dilemma. Problem solved. It'd be like in Antigone's case if we just declared familial obligations > civic obligations. That'd make Antigone's life easier, but now Sophocles' masterpiece is like 8 pages long.
I would argue that if there's a chaotic side in this conflict, it would be the insane king with his personal set of, like Oslecamo put it, Calvinball rules ("my champion is... fire!! Wooohoooo!!! ...by the way, tie that guy there up so that he strangles himself if he moves") and his woman-stealing son. Usually, part of an oath of fealty was that you're liegelord also had obligations towards you, so it wasn't an entirely one-sided relation. And the thing is - the Tagaeryens broke that obligation. Of course now we don't know how exactly fealty looks like in Westeros, but it's save to assume that it probably worked more or less like the one in medieval Europe.
But for Antigone, it's less Good > Law, but rather Law (tradition) > Law (ruler).
(though not every law or tradition is necessarily "lawful", more on that below)
I don't doubt that you can cash out Lawful X or Chaotic Y in interesting ways. But, at that point, I'm pretty sure it's the cashing out that's the helpful part. Or, at the very least, I'd rather not have to solve one of the main debates of legal philosophy just to be able to play D&D ...
Which may be the reason why they did away with the alignment matrix in D&D4
D&D alignment is quite simple actually. Altough people just looovvveee to complicate it.
Guilty as charged
And before you ask it, the rules a lawful person's plays can be anyone's rules, as long as they aren't calvinball, aka they're well defined rules that you don't change when they stop being convenient to you. Some lawful people follow personal codes, other lawful people follow other people's codes.
There's another beef. Is following a specific code "lawful" under any circumstances? I am not just refering to a chaotic person following a "code of what I was doing anyway" (since I totally agree with the "following the code even if it's inconvenient" part), but to a code that is inherently destructive (best example: The Sith code, where the obligation to be chaotic is pretty much the essence of its letters)?
So, if two families belong to a culture with the concept of a blood feud get into conflict, while the country they're living in prohibits violence and reserves it to the state. Is carrying out the blood feud and killing the son of the rival family's patriarch a lawful act?
Or mafia mobsters, who may be utterly loyal to "la familia" but otherwise break any law of the land and terrorize the community his clan is feeding on, are they lawful? Would Luca Brasi be (for anyone who hasn't read or watched The Godfather, the guy has a Wikipedia entry)? Well, they are probably "more lawful" than a street thug, but is it enough to qualify for the alignment?
It starts getting weird when a "generic NPC citizen" who simply does his day job (without much passion), pays his taxes (but isn't above some small-scale fiscal fraud), generally obeys the law (out of habit, not out of loyalty to the state), and has a reasonably stable family (but would be tempted to cheat on his wife if there was an attractive opportunity) is labeled as "true neutral" by virtue of being a generic NPC guy, but the utter loyal mafia goon above is seen at "lawful evil" (or perhaps even "lawful neutral" if he is a more non-violent type) because he is more invested into the machinations of his family, but discounts the country he lives in as a legitimate source of authority.
To get back into D&D and paladin territory, where the weakness of this concept of "lawful" gets into full force. Assuming you play a law-bound class that can dish out additional punishment against chaotic characters. And now you're meeting someone with a code that violates pretty much everything your code stands for - but you can't use your abilities on him because technically, he's lawful. But you can against a chaotic guy, who might be rebellious and carefree, but perhaps has never acted against your code for whatever reason.