Don't see what is wrong with Blackberry, the wilder and thornier the better. I would also suggest Acacia spp., leaving a barrier zone of about 2 ms from the boundary. I have a sweet thorn tree which has grown along the roadside through years of spraying and it is now sweetly developing its own fungus in self-defense, which hangs from the branches in winter. With luck it may inoculate the ground beneath it.
On which note, it might be worth it to,try replanting some climbing roses of the old fashioned heritage type, say "Albertine", "Dorothy Perkins", "Mermaid" or any
local variety which thrives well. If you mulch thickly and
water once or twice with kombucha or other effective microorganism techniques you will find that the roses' capacity to resist Round Up vastly increases. Climb them up the thorn
trees and it will be a lovely sight.
I understand one has to get along with neighbours but no point in being too kind. I suggest a basket of Round Up blackberries in season together with a mild request to please not kill the roses might work your way towards a solution of some sort :)