Thanks to everyone who chimed in! This was the winning outcome.

I had some awkward timing issues as I wanted to get this done before the Tokyo DO event on Friday. That meant being a ten minute walk away from the closest branch of the bank I needed to use, 40 minutes after banks open.

So, I pulled cash on Thursday, and attempted to manage an atm furikomi myself (because it opened at 7, rather than 9 as branches do), and completley failed. The english menus didn't have furikomi as an option, and the Japanese menus were sufficiently different form any walkthroughs I found on the web. So, I went back to my hotel and waited until I could head back out and be at the bank at opening.

I said "Furikomi. help" and that did the job. Nice lady assisting customers did not speak an appreciable amount of english, but that was enough to get us started. She walked me through the process, entering pretty much all of the non-numeric data on my behalf. I was pleasantly surprised that instead of deducting the few hundred yen fee from my transfer, it asked for that on top of the transfered amount. This was better for me.

Everything went super smoothly and I was out the door of the bank by 9:05.