I would vote for trying a lower dose and seeing if that helps. You have a note in your SS "too much insulin? or liver panic?". I don't see any liver-training-worthy numbers to bounce off of, but I do see what looks like at least one steep drop I think - 507 to 205 in under 3.5 hours, so I would think that would cause a bounce.
I would actually raise in only 0.25 increments. So I would probably try 3.25.
What you said about each dose starting over is kind of a half & half thing, and also an ECID thing. On the one hand if the PSs shoot up by +8 then in a sense you are starting over. But on the other hand when she was staying flatter (but shallow), even though she was high enough to shoot, it wasn't zoom.
I can picture it in my head but it's hard to articulate, and I'm too tired to be able to say it. Respect the overlap, that's the short version. Some cats don't get it, but if they do it can be dramatic. This is the kind of stuff no one ever hears me say, lol, but I think you need to give it time to see what the overlap is before raising too much. Some is just that I don't know TID well enough to say, and some is having seen some overlap on early shooting with Bix, it can be quite unexpected.
Her numbers to me on the 3u looked off to a good start, and then the 3.5 starts to look wonky, so that's where I'd go with 3.25. Personally, as long as she is acting reasonably well and ketones are negative, I would give a new dose a good 2-3 days to see where it is going, and then only move in 0.25s. She may not get overlap, but the fact that her TID PSs didn't rise a lot from her mid-cycle makes me think that she could. If you are lucky, raising the dose in a smaller increment like that may slowly push her PSs down, so that even if she remains a shallow dropper, her PSs will be low enough that she can get good numbers that way.