Honestly, don't worry about it. This is a trending topic right now, but the danger is overstated.
I've heard from just about everyone it seems that some breeds of dogs can get fatal hyperthermia after eating hops. Does your dog typically eat your garden plants? If not, then you don't have any worries.
I would be careful to dispose my hot break / hop material from my boil in a dog-free zone. At this point, the hops are covered in sugar and might be tasty to a dog. The dog + hops issues is really about cleaning up after the boil, not about growing.