I really hope they don't play yo-yo with Burnham anymore. She's been given the chair, she needs to keep the chair.
I don't see much to suggest she's ready for it. Yes, she's effective... on her own. But she's not shown the self-discipline to allow others to do what must be done, rather than doing it herself.
However, your idea of Burnham heading up some sort of special forces team . . . .
But then again, that's basically Section 31's role, in dark way
I actually phrased it as "Special Solutions" for a reason. There's nothing saying that their action has to be unethical - merely that it is unorthodox and often high risk.
Of course, Star Trek has a history of its captains defying the authority of the admirals, so
Yeah. And... that's a bit of a problem.
The show constantly paints the Federation on the whole as ineffective and incompetent, and often bordering upon being unethical and easy to manipulate to evil ends.
As if that could somehow last nearly a millennium, even surviving galaxy-wide natural disaster?
Just once, I'd have like to see Kirk set out following his gut, and being completely and utterly wrong, and have Spock walk in at the end of the episode, saving the day by following well-considered regulation and well-considered logic, telling him, "Captain, surely you understand that your 'gut' as you call it, is a vestige of a primitive age in which your people needed to make very simple but important decisions quickly. Your predicament here arose because today, problems are rarely simple, and require far more understanding of context and details to work through. The regulations you decided to ignore are a framework of the learning of past Starfleet Captains to give you support to do that. In ignoring that past, you doomed yourself to repeat it." Or something similar.
Having typed all that, I can actually see that as the meat of next season - Burnham learning that being a maverick all the time is a problem, not a solution.