I'm glad I know someone that is a legal wildlife trapper. He has his own land that he recently purchased to turn into a sanctuary. I have not called him yet about my raccoon problem but I know he is part of the plan if needed.
I'm amazed that you have a raccoon problem with seven large dogs on the property. I only have one dog and any raccoon that dares to set foot around here gets a lesson he won't soon forget. The dog and I go out every night with a high powered flashlight and make our rounds. If we happen to shine on some beady eyes in the darkness, she's on it. It's her absolute favorite thing to do!
This routine tends to make my property inhospitable to predators, After their first encounter, whenever they see that light they head for the hills and most often, before long, we don't see them at all. No doubt they are still nosing around sometimes in the wee hours, but that's okay because everyone's locked up tight.
I hope your trapper friend has a massive piece of property as each animal is going to stake out at bare minimum 20+ acres as their territory.
We have a pair of foxes that have been living here for the past few years and any new fox that tries to encroach upon their territory gets a serious, merciless beat down.