I can't help but add my own "flavour" to scenarios hence sometimes going on a slightly different way compared to your TL. But our objective so to say is the same (a better IJN). Indeed ideally they would have wanted the Furutakas as full 10,000 tons Myoko sized beasts, but it took time to design the Myokos hence the Furutaka rush job (which aiui were planned before the WNT to beat the Hawkins class). For "flavour" i suggest a compromise in that the first 2 Furutakas are delayed a few months so that their design is quickly stretched and altered to take 8x 20 cm guns in twin mounts. Looking at the laying down timeline it seems that Furutaka, Kako and Aoba can be laid down to this 8 gun design, but there is no excuse for Kinugasa not to be built as a Myoko, since it was laid down about the same time as the first Myokos. I know that they tended to operate the CAs in 4 ship divisions, but since they wanted to squeeze every bit of advantage they could, would make sense to get the biggest cruisers they could as early as possible.In the words of Phyllis Nelson.
Hey, babyYou go your wayAnd I'll go mineBut, in the meantime
If you want to build bigger and more heavily Furutaka and Aboa classes then arm them with nine 8in guns in three triple turrets so they can fire six guns forward instead of four. It's highly likely that Japan wouldn't lie about their displacement at this point as they had little to gain (because as you wrote they were built before there was a cruiser tonnage quota) and the only reason that I can think of for doing so is to make the declared displacements of the later 8in cruisers appear to be plausible. However, as this ALT-Furutaka/Aboa class has only one gun less than the later Myoko & Takao classes I suggest that you build it as a 10,000ton heavy cruiser in the first place and build another 8 instead of the Myoko & Takao classes. Therefore, you still have twelve Type A cruisers in your timeline but they're all ships with a declared standard displacement of 10,000 tons for a total of 120,000 tons.
That leaves 67,805 tons of replacement tonnage, which could be increased to 68,405 tons because the declared displacement of the OTL Takao class was 9,850 tons. That's enough to build eight OTL Mogami/Tone class. I did it my way so the 8 ships could be built with stronger hulls.
The Japanese operated their cruisers in squadrons of four. So either use your 76,500 tons to build 8 OTL Mogami/Tones and one of my Atlanta analogues or 8 Mogami/Tones with a declared standard displacement of 9,563 tons.
Due to being built before the Washington Naval Treaty (let alone the First Naval London Treaty) the IJN wouldn't have lied about the larger displacement of your Tenryus and Yubari which would reduce the tonnage available for new construction when in the Treaty era.
Alternatively maybe there was a way to speed up the Myoko design a bit so that both Aoba and Kinugasa are built as Myokos. Or that and delay Aoba a few months until say spring 1924 so that is laid down as a Myoko. Since earlier we postulated faster cruiser building times, the lost few months can be gradually made up while subsequent ships are built.
So in summary, my own "flavour" is having 2 or 3 ALT-Furutakas, 5 or 6 Myokos, 4 Takaos, 4 Mogamis and 4 Tones (or alternatively 6 Mogamis and 2 Tones, or 8 Mogamis), and if possible (this meaning no bigger Tenryus or Yubari) 1 extra Tone or Mogami for a total of 9 post LNT cruisers.
About post WNT displacements, well they did lie about Akagi and Kaga (which were more like 30,000 tons rather than the declared 26,900), so it makes sense (with hindsight at least) to be a bit more economical with declared cruiser displacements as well. Speaking of the carriers, how about the Akagi and Kaga (or Amagi depending on what TL we follow) be build closer to their 1930s modernized configuration, ie with a single large flight deck and larger hangars, rather than imo utterly idiotic THREE superimposed flight decks in turn inspired by the equally uninspired british 2 superimposed decks design on the follies. Afterall, the US Lexingtons were build with a single large flight deck from the start. Again if nothing else this should save modernization/rebuilding time and money, since the alterations need not be so radical.
There are some pictures on the web of an interim configuration of Kaga studied before it was modernized in 1934-35, that could be a good start for my proposal.