Hello Matthew Rogers. I have Qberry farm just south of you. I am concerned about what kind of undesirable grass you are talking about. If it is quack grass that spreads by
roots then cultivation just breaks the roots into pieces and spreads it. I have vetch that regrows if I mow it after it has gone to seed. White clover regrows from the roots. I mow the grass for mulch for intensive gardens. I mow between Boysen berries and keep it mulched between the crowns. The quack grass will come up through the mulch. The roots will then be near the surface without other roots between them and can be raked out and burned. They will regrow even if they get dried out.
Below is the system I am using to prepare an area which I would eventualy like to use for blur berries. The paths for raspberries I mulch with the field mowing and cover with carpet. You are welcome to come see my operation. You can find it on Facebook/Qberry Farm