RE: If you were me....
Just go on ahead and do what you think is best for the situation. By all means though if you do shoot it, dont make a peep about it.. The only noise needs to be your bow ( No lip service ), especially dont go posting it on the internet.... If it is a problem handle it. I HAD a problem with dogs in the area I hunt a few years ago.. Seems like all the neighbors dogs would pack up and roam the woods at night I had pictures of them on my cameras all the time.