Originally Posted by Agneisse

Are there other activities you wish to accomplish in the 11 hours besides sushi?

Tsukiji market will have lots of non-famous places open for sushi breakfast. Unless you're a rael connoisseur of raw fish (I certainly am not), they're probably all "good enough" so just pick one that's not empty but also doesn't have Sushi Daiwa levels of queuing.

Nemuro Hanamaru recommended above is not expensive but only opens at 11am. They are however very judgment free (you write the number of what you want on a piece of paper and hand it to the chef, no discussion offered or required) and has an electronic queuing system (queue ticket comes with a QR code that is constantly refreshed with the anticipated wait time), so the time spent actually standing in line (vs wandering around Ginza while keeping an eye on the queue webpage) should be well under an hour.