Krispin, perhaps a new style of writing is exactly what your muse needs? You don't have to publish or even share anything you write for NaNoWriMo. If you enjoy writing, and you've got a spare idea floating in your head, try it! It doesn't matter really whether you make it to 50,000 words or not, so much as it matters that you began the journey. NaNoWriMo, even with its many participants, is still a road less traveled by. Take the road less traveled, Daniel Krispin! 
No, not really. My muse doesn't work like that. I don't work on spare ideas. Or even if I have them, I have to wait for the right moment. My muse works on blasts of inspiration, not sitting down and trying to write. I mean, I could write something half decent at any given point, but the point in writing for me isn't just to write something, it's to write something beautiful or good. Indeed, I don't write stories at all like other people do, especially these days. I don't write with an eye to just 'telling a story' as most seem to wish. For me my motivation tends to be to examine and teach, to write things that are beautiful, and what not. This mentality doesn't fit in well with writing quickly and letting the ideas 'flow', as it were, which I think is the intent of this project. In short, actually, I'm not much of a novelist. My style isn't a novelist's style. It's a tragedian's and epicist's. Novelists try and write natural situations and dialogue and so on and so forth in an attempt to capture base reality, and through this understand human beings. Much like Euripides, I must say! They favour witty dialogue, things that are pertinent to every day lives, and so on and so forth. But I'm not like that. It's not my voice, and not my spirit. I'm Aeschylean. When I get going, like Aeschylus, I can strain the language intensely, I can write with much force... though I lack the wit at times, I write with weight. Now, this works eminently well for tragedy and epic, but is difficult for the novel, which was written precisely from a desire to move away from the old formal forms. Now, some manage in some extent to draw from the old types... say, fantasy stories in particular, as they have such a grounding in myth (or try to, at any rate... most of the time they fail miserably.) This is where the old tragic/epic form encroaches on the novel, and is usually what I go for (though I myself don't write fantasy per say... more directly mythological.) But to be done properly, this can't be done in short order, as it's not based simply upon having a good progression of plot, having movement, and all that, but requires a certain force that only the haply given muse can grant. Ah, nah ja, this is difficult to explain. But I find something about the concept of 'just writing' a bit off the mark.
Yes, I could write something. Yet I would probably frustrate myself to no end in forcing something to come out, rather than waiting for some flash of inspiration to come to me. I would also like to add that I have to write the sum of 20,000 words in papers next month anyway, so I doubt I would have time for writing anything else (this is beyond my regular 200 lines of Greek a week, as well as Latin.) Being a student swamps me, and logistically I simply couldn't do it.