If you burn
wood for heat, they are an excellent wood lot tree. They sucker quickly and prolifically, as you observe. The have a high heat content. My advice would be to make bio char out of them, if you are not using them to heat. Be careful with livestock around them. The leaves have a toxin in them that is bad juju for animals.
My understanding is they will take a lot of abuse. Cut them all the way back and they will re-gen, as long as the
roots are well established. I think they are hard to kill, as they are a pioneer species.
Welcome to the forums.