Another typical answer to this problem, is to make hay from the unused portion of the pasture. But that takes expensive machinery. Or else I'd need to take the spring off from blogging, and work at scything and bundling.
YES JERRY!! You definitely need a scythe! Or preferably several.
You have described my sorry farming situation only too well. Seems we inhabit very similar climatic regions, half a world apart. The grass and weeds overwhelm me and everything else in October, in most years continue through November, pasture growth is generally in limbo from December, and a huge amount of herbage translates from lush greenery to inedible standing straw it seems almost overnight. Of course the weeds are undaunted by anything, but they do make great mulch when slain by scythe.and goats do love to eat weeds dried as hay.
The ideal is to mow and conserve that excess while it is still in its prime, just as it begins to flower. Almost every year, I make several tons of hay by hand with scythe, grass rake and pitchfork, and it is the most delightful process that occupies many outdoor hours through the summer. Physically invigorating and aesthetically pleasing. The view is great and birdsong is the loudest noise I hear. But with just one person pitted against the task, of course I can never manage to control it all before the inevitable decline.
You might enjoy the YT video "caffeinated scything" as an intro to the possibilities. I think this guy lives not too far from you. He makes it look easy, which it is, really, when you master the techniques.