We really need to talk to the Sarutobi at some point. We could talk to Cat to do things on the DL or approach whoever the House Head is openly. Do we know who their person on the council is yet?
I foresee two problems. One, I'm not sure Mari can really hold it together 24/7/365 in the way she'd need to to pull that off without a disastrous breakdown. Two, I think being originally from another village would be a deal breaker for a significant number of people on the council, and the vote is too tight to lose any potential votes to anything avoidable.
Also, she might not want it. She'd probably think she's too evil to deserve it, and might be self aware enough to question whether she could handle it.
What makes you believe that Asuma would be hostile to Goketsu? He's a warm, kind, competent man from all reports, and seemed friendly to the team in the very limited interactions we know of. He's also not associated with Hiashi.
In any event, keep in mind that it's going to be a huge effort getting anyone but Hiashi elected. We're not going to be able to make much in the way of demands of potential candidates because we need to unite everyone who might possibly vote for someone who isn't Hiashi behind one ticket. We can't afford to walk away from a viable candidate because they won't give us the snake contract or whatever else you might want.
This sounds like something from canon I'm unaware of, could you fill me in?
I figured Fifi is some sort of chakra beast cat, because there are apparently vicious man-eating chakra versions of everything else including ponies and freaking cabbages.
...say, are there any examples in canon of an intelligent chakra beast, other than the tailed beasts? Something that can talk?