Maybe if you just talk to the person who runs the rescue you could convince them to come out and see your property and talk them into something. My place isn't perfect either but since she knew he was going to a good home the lady I adopted Phoenix from didn't mind the "unsafe" stuff like barbed wire. Tbh I don't see why some rescue places make a big deal over barbed wire, I know it can cause problems, but so far I've never had a problem with it, buuuut one of our horses stuck his head threw the pipe fence once and a rusty piece snapped off and went all the way threw his neck, missing his jugular by literally a hair, the vet said he'd never make it but somehow he did, with not even a scare to show for it. It was that sorrel I had for my first horse, I'd say his stubbornness is why he lived. But no place is perfect.
And as for vets and farriers, I used the farrier that I've only used once (but will use again) for my reference on the application, and I wrote down the vet that I WILL use if I have an emergency or something. But I rarely have the vets out either. I just called them beforehand and let them know and they said it was fine to put them down, and I've never used them before.
And that sucks about the drivers, the road my grandma lives on the people do the exact same thing. So I don't even try to ride on it. Which I really hate because the place I'm moving to is 3 miles from her house and it'd be awesome to ride back and forth.