Bandy-bandys belong to the same family as Australia's deadliest snakes. They have venom glands, however they produce very little venom and are unlikely to bite humans or dogs even in a stressful situation. Although at the same time you can't assume it wont affect the dog... Personally i have never been bitten or never seen any thing bitten by a bandy bandy and there have no personal experience with the affects... Keep an eye on the dog and offer plenty of water, check for exhaustion, discomfort, and overall change in behavior from the dog, if so call a vet asap just in case. I know of people bitten by less dangerous snakes and end up bad coz of a reaction to particular components in different snakes venom
Without having a crack at any one... WHAT A DAMN SHAME! they are such a beautiful snake and one i am yet to see in the wild what a pity is all i can say.