Sounds tough, man, sorry for the frustrations. Reading through this thread, I’ll offer a Saturday morning, stoned on the couch take. Not trying to be a jerk, just offering a different perspective. Regarding the vine, I’m no expert on whatever that is, but the amount of dead stuff in the lines suggests a neighborhood problem likely not limited to the plant growing in one dude’s lawn. Now, as someone struggling with a neighbor I consider unreasonable, and as a parent of former-children and owner of pets, I’d not take kindly to someone telling me I should just keep my pets and kids out of my own backyard for a few days. Non-starter and not a chance. Especially if I believed the problem were much more widespread than my back yard. I would be happy to work with you to attack this vines with non-toxic measures, including some labor. Roundup is evil shit and should be outlawed, imo, but that’s a different discussion. Good luck though. Sorry for the hassle. And the sore back/neck, which I know is frustrating and painful.