Honeysuckle is killing forests and ivy is helping, especially in the northeast/midwest. Kill all that shit, help stop it from spreading. And try to volunteer for local groups that are clearing invasive species. It's pretty amazing seeing a forest before and after invasive species have been removed.
Yeah I don't see burns being viable in states drying out unfortunately. In Iowa it can still be used most years.
Another option that may/may not work is surprisingly goats. Goats are not picky eaters, they eat literally everything down to the ground. And they don't need food doing it. Just make sure you rotate them and you're good to go.
My only concern with this is that goats don't entirely destroy the plant. I'm not familiar enough with the science, but maybe the native plants grow back faster given their more established root networks? I've heard of conservationists using goats so it must work at least somewhat.