I don't think putting forth a new doctrine is high on the agenda of the China hawks in the administration. Not necessarily these guys, but there's a growing sense among the hawks like Esper, Pottinger, Navarro that their window of opportunity may be closing, as an administration change becomes more and more likely.
While China hawks have always been present in US government and intelligence communities, never have so many been elevated so quickly to positions of power. However the bulk of them are likely to be replaced in a Biden administration. The current feel from this camp seems to be a focus on getting as much done on their wishlist as possible, with a focus on enacting changes that are not easily undone by a more diplomatic successor in their seat.
So by design, they are trying to disengage in as many ways as possible without really offering a replacement plan, which they likely won't be around to see anyway. If somehow they are still in their seats next year, they can discuss formulating a more structured new doctrine.
The recent moves are all along these veins, arresting hackers and spies, shuttering consulates, are all "permanent" moves unlikely to be undone by the next administration, and all high on the wishlists of the hawks.
As far as I understand, very little of this actually comes from Trump himself, who is really only concerned with China as a scapegoat for COVID and the economy. The "security" side hawks pushing these actions have, if anything, been trying to keep it under his radar.