Thank you, DADoES! It is indeed a LSC9355AW0--I'd typed it wrong. I'd pretty much determined to replace it with a Direct Drive machine from the nice people who sell refurbished machines who sold my daughter her washer. Still, I went downstairs to determine exactly when the noise started, stopped, what cycle, etc. I determined that the sound was occurring after agitation began, then smoothed out, and started up again after it added water and agitation began again. Not during the spin. BUT, WAIT! It seemed to be running rough. I wondered if it was somewhat unbalanced and something else was causing the noise. I moved one corner of the washer a smidge, and it responded with a much smoother sound! I did another load, and I think it's okay. I think it was scraping against stuff stored in a storage caddy between the washer and dryer. I've at least bought myself a bit more time, so this crisis is averted.