Poa Annua in bermuda greens

I am not an expert, but here is what I have learned.
Poa Annua is now the third invasive weed in the world.
Only a few chemicals labeled to spray on greens for it.
Herbicide resistance to pre and post herbicides is extensive
There is a new chemical called PoaCure. It is expensive, multi year program, can not overseed with it and if you have a severe Poa Annua issue no instant relief.
Superintendents are taking risk with other chemicals applied to greens that can damage the bermuda grass because of all of the complaints about Poa Annua from golfers.
Many years ago when clubs overseeded they use to spray a chemical called Rubigan before they overseeded that kept the Poa Annua out but did not affect the overseed (not available anymore)
Overseeding is done at the same time that Poa Annua is germinating (with no chemical to stop it), so now you will have the overseed and Poa Annua crowding out the dormant bermuda (bad transition in spring)