I don't know about the first choice yet, I'll need some time to think on it.
For the last two choices however, it seems there's two combinations that complement the weaknesses of each other:
BB will let us know quickly when we are invaded, and give us an elite group of soldiers to quickly and competently respond to such a threat.
AA will give us an information network to know when an invasion is coming and a road network for our soldiers to move into position before the threat strikes.
I'm leaning towards BB at the moment, simply because I like the idea of an elite group of soldiers serving underneath us, plus it suits our character more. Finally, some Sardaukar of our very own. I'd also like to emphasise the fact that this elite guard will be capable generals and able to assume command of our regular forces without us having to reasonably worry about a Teutoburg Forest level of defeat.
My point is, there should be at the very least one choice that facilitates quick military responses to enemy activity, which is either B in the second choice, or A in the last. I also feel that them stacking is excessive.
Edit:
Also remember guys that if we do nothing and the Gieloth win in China, it's mass strip mining of the world's resources or exterminatus for us, I don't think inaction is advisable here, but nor do I think our military will accomplish much, especially if they're needed to fend off the Hittites. So I've come to a decision.
Send a small expeditionary force composed of Gieloth and immortals (okay maybe not gieloth, do the Greek immortals know that we have gieloth in our service
treave?), that means Sek, Eden, Artemis and most of our elite guard and anyone else super competent, with the exception of Athena, who we give the duty of protecting against incursions from the tyranids or the Hittites (I think she's cooled off a bit in her perception of us, it's not a dishonourable request by any means, she should be trustworthy).
It's going to be difficult to counter the gieloth, but with Sek and Eden's insight and ability to infiltrate their ranks, the killing ability of Ean and his super elite + Greek immortals, we may be successful in weakening the key leaders of the tentacles sufficiently enough for the Chinese to finish off the remainder. The signal towers at home should give Athena enough information to act and defend the Empire where it is threatened while we are away. Anyway, let me know what you think of this course of action.
Esquilax et al.
CBB
Lastly, I know you guys are worried about the Hittites, but if we leave most of our normal forces at home with a competent general, then they will not be a problem if we are fighting a defensive war. They're a transient problem anyway and pale in comparison to the threat to our empire if the world gets set afire. We need to think about our priorities here. Do not let the Gieloth become entrenched in China. I get the feeling that inaction here will be the same as inaction to Marduk in Greece.