Google images - Just a thought.
Why would someone put outriggers on a wavewalk? They are really stable where you can't hardly shift your weight over either pontoon. That design just seems like a waste of time for that hull.
I would not stand up in a canoe unless you have LOTS of experience. I do and I would not stand up and shoot, or stand while a dog is in the canoe!
Keep your center of gravity low and tell the dog to sit and stay and you will be fine. If you are worried paddle like white water. Drop to your knees, sit on your heels and spread your knees. It makes it impossible for your center of gravity to change unless you hit a rock and it flips the canoe. I've done that too.
There is a post on here about kayak outriggers if you really want to make some. They really are extra drag and slow down your paddling. I would suggest taking the dog out this summer for trips and get him trained on how to be transported in a canoe.