My
experience with most invasive such as you're describing is that you need to cut to ground, then cover with something solid and dark to slow light and moisture to weaken the
roots, then patrol weekly to cut off any new shoots (like a whipper snipper so you get really low.)
The trouble with this approach is that it takes up too much of my time and
energy.
Not
enough fencing to try goats, but I've heard good things about them. The idea of renting goats sounds wonderful so long as I could keep them from getting where I *don't* want them.
I much prefer dealing with weeds that
chickens like...