No plumbing code allows a standpipe to be installed higher than the washer.
Do do this correctly will require a laundry pump system to pump the water from a basin into the building drain. An AAV will not work with a pumped system because it must allow air flow in both directions.
It appears that the home is only one story, which in most cases would mean that a vent line can be brought up through an interior wall without needing to "tear up" anything. The vent between floors does not need to be at the laundry if it makes it easier to route.