Well you make it tough to say the least and I am not sure you will not have to compromise especially on the lid functions.
If you want one with an agitator and you want one in White then make sure its NAACP/Jesse Jackson approved: White with a Black agitator.
Wife just got one and we thru a good 6 weeks of research and viewing before we bought. Here DEMANDS are much like yours. My wife is an engineer and like me does a lot of research before she plunks down $ and in this case $ is NOT an issue, her happiness is and if She is unhappy, no one is happy.
She ended up buying a Samsung Powerfoam VRT with matching dryer. The dryer requires a water hook up for the steam function which she loves. Samsung has the largest tube in polished stainless steel. Lid on top which is glass (see thru). She is into about 9 mo now and absolutely loves it, its out performs any she has ever owned.
And YES she looked at EVERYTHING. One of the things we did at every store we went too was ask the sales folks if they were buying one which one, cost not a factor. In 100% fo the stores the answer was the same, Samsung. Based upon quality, most had one, warranty record and quality of the machine.
Samsung is NOT the most expensive and if you are lucky like we were you will steal it…We got ours at Lowe’s. It was on sale + rebate + an additional 10% off. We drove away out the door for about $1200, YES for BOTH, delivered, setup and the old hauled away.
I can take pics or answer questions…
This one: 4.8 cu. ft. King-Size Capacity Front Load Washer (Stainless Platinum) WA484DSHASU | Samsung Home Appliances