Can Plumbing Go On An Outside Wall. Outside plumbing where freezing can occur is asking for trouble. Bumping out a wall a few inches is child's play.
plumbing - Can I avoid the slab and run the new PEX ... from i.stack.imgur.com
Not really finding any examples. It is incredibly useful to have an outside tap for watering the garden or cleaning the car. Our page top photo shows a main building drain often an outdoor cleanout is provided to permit snaking and clearing the building sewer line connection (circled area in the photo below).
I would never put plumbing on an exterior wall, no supply lines, but maybe waste lines.
I'd go with plan 'b'. Go sit on the metal bench under the trees to see what happens? Maybe you notice that there is warm air blowing through your vents—despite the fact that you are good about changing your ac while this is a fairly common problem, the underlying causes are varied. I know that running plumbing in exterior walls above grade is usually not allowed sorry when i said outside wall i didn't actually mean outside.