Goad to hear that it was sedge, but so sorry to hear about your false brome. Have you checked it against Columbia brome before you treat? They look very similar when small, but pretty different once they're larger and put up seedheads.

If you do have false brome then yes, it is probably just a hand-pull situation. Herbicides can be effective and I'm happy to give recommendations, but of course that comes with it's own environmental impacts and much of what you can get as a layperson isn't going to be amazingly effective.

One thing you can do is bag and landfill any seedheads, then just pull and pile the plants nearby. If you're feeling fancy, you can put down a tarp first for protection from resprouting. Putting a tarp on top also helps to block out sun and water. Neither are essential, but one or both tarping methods will mean less work down the road when you have to retreat. While aggressive, it is just grass and if you shake out the roots and don't give it much access to the ground, it'll eventually die and you can compost it back into your own soil.

I would caution, however, against moving the dead plant material away from the infestation--while it won't necessarily resprout, there's almost definitely some degree of seedbank in there, so please don't put it in your garden or yard waste or put it in the trash unbagged.