Trumpet vine!

I have an area that I would like to convert to a forest garden. Unfortunately, it there was a fence there before that was all grown up with trumpet vine. When I lived in town, I spent 20 years (unsuccessfully) trying to get rid of trumpet vine. The only thing that sortof kept it under control was regular mowing, but I'm not really into mowing, and that wouldn't be practical for a forest garden/food forest. Any suggestions (for either control or acceptance)? I'd really like it to be gone, but I'm not willing to put poison on it.

There's also a bunch of Johnson grass in that area, with it's big old rhizomes wound together with the massive trumpet vine roots, but that doesn't bother me so much. I've mostly eradicated that in my main garden by repeatedly digging it up. And I've come to accept a certain amount of bindweed (it's great for basket-weaving, and it will also shade the soil, and sortof disappears when perennials get a lot bigger. But trumpet vine? Help!?!?!

I just looked it up.. it's toxic to all animals.. so animals won't be able to root it out. I was thinking chickens or pigs but .. no. Watching the thread with interest.