I love seeing all the green frogs, all I have is the Cuban frogs, I personally don't euthanize them, however they got really bad on my front porch years ago, pooping all over, some as big as five inches across. would jump on you at night if you went out the front door. My husband took care of them since I needed to paint the porch, I didn't ask how he did it. I do see snakes eating them, makes a horrible screaming sound, like a cat in distress.
My dad had one come up through his toilet in the house last year....totally creepy.