Wasn't my intent to spoil your day, David, was more in line with not wanting your to spoil lots of your own days later. Really it was.
I'm not familiar with joist hangers, Simpson or otherwise, that are made for attaching to engineered wood joists. Doesn't mean there aren't any, just means I don't know about'em. If you'll give us a Simpson model number for the hangers you have in mind I'll be happy to look'em up and get a lesson, maybe.
And if they are suitable to your application, adding blocking between your joists at two-foot centers would just mean you now have two-foot blocking spacing under the weak axis of your subflooring as well as under the strong axis. The amount of improvement, presuming there would be some, would be precious little.
Adding quarter-inch anything to the top of your existing subflooring would yield similar improvement. Actually, it would probably be less unless you could effectively glue the quarter-inch OSB to the existing subflooring, which you can't because it's OSB. Even were it plywood, the very thinnest structural plywood is nominal three-eighths of an inch.
Your kitchen base cabinets should have started life being 34 1/2" tall. If you measure only 34" it's likely youre measuring a lip on the front of the counter top. Perhaps you could remove said lip and gain another 1/2" of height.
You might also be able to raise the front of your countertop temporarily for installation and removal of the dishwasher if you don't tile under that area.
Or...........something else.
I would not consider tiling over your existing subfloor without an additional layer of at least nominal half-inch plywood. But it's your house and you can.
My opinion; worth price charged.