Not as impossible as it looks. My witnessed stalk was taken within 200m of these deer and the aborted first stalk would probably be these same deer higher right disturbed by the buck and doe. The deer are in a shootable position but certainly not from the possition of the photo. Upper right gives you a safe backstop and you are screened from the houses. You have to accept that periurban deer management is a fact of life with houses up to the agricultural land. Sound moderator a necessity. Clean kill required. Safety concious at all times and remove deer from locality before gralloch. Remove all evidence, As you see the photo is taken from the ploughing. The crops require protection. What you cannot see is the feild of grain (think back to the safe backstop debate.) that 6pointer also has a duty to protect. Planning and execution has a few more elements than a normal forest stalk but it can be done and actually has to be done. As to the question shoot the buck kids first probably not in one outing but as the resident doe you could argue you are coming back for the doe later. To leave the kids they would be easy prey for the doggie boy brigade known to work the area.
PS this was the same walk the buck and doe took until she got to a shootable position. We had to watch and wait. Often wondered what would be said in someone spotted two men hunkered down behind a wall watching the back windows of houses at getty-up time in the morning through binoculars. Happy Memories.