I'm reading over my vent plan of 3/23 and breathing a sigh of relief that it is now done and one more encounte with itchyglass is history.
I now also have a 2" drain pipe complete with a properly placed trap in the wall behind the washer and above subfloor level. And no running trap. Further research revealed that the trap arms need to come out horizontal atleast twice as long as the diameter of the trap. 3 inches for 1.5", 4 inches for 2" diameter and that this prevents the P-trap from becoming an S-trap which coincidentally will Siphon the water out of the trap.
Now I'm wondering just how important it is to make that dirty arm level so that the tee is above the level of the sink trap. It is the only part of the system that drains into that vent stack. Unless the water running out of the sink can siphon the trap, I don't think it is an issue.