I wish I had your problem. I love wild berries.
Maybe borrowing some goats to help out though the goats will not choose which plants to eat.
Maybe cutting the offending plants at the based and waiting for them to die might make it easier to spot them and pull them out.
What kind of tools are you using?
A lot of folks on the forum like the Hori Hori knife.
Doe you have a long handled weed puller?
I usually just use a garden hoe and
rose bush pruners.