Generally speaking - completely impossible. Too many internal disputes, and too weak economy. No real infrastructure, not many educated workers. And how could China possibly this scale industrialisation, if it couldn't even protect the national sovereignity?
Internal disputes that would not happen with most of the OTL disputers killed or brought under control during the Great Eurasian War 1915~1919, the spurt of industrialization and infrastructure building to supply the troops during the same war (so similar to OTL Japan, only without the profits since those are poured into fighting and manufacturing), the higher level of education stemming from the mobilization of war. In other words, the massive changes of the 1910s would place China at the 1930s level of economy, without the political disunity that plagued Chiang's regime at the time. After that, smooth economic growth is enough to push the country towards GDP parity with the US.
Getting China to be richer than the European powers by 36 is very (ASB IMO) hard with a POD in the 1900s, and even if you do you need so much more to feed/etc you larger population that the actual surplus to spend on a fleet might not be very big. (and you will spend on a land army first IMO v USSR/Korea/etc.)
Meh, "richer" only in the national sense, not the individual level.
If you still have treaty's in your AU then any 50-60kt ships should beat any 35-40kt ship 1 on 1 so I don't think you need to go to 90,000gt (do you even have any ports that can take 90,000t ships, not sure how deep your rivers estuary's are ?)
Nailed the location: Zhanjiang, which has some 13 meter deep accommodations. Plus, it's very well sheltered by Hainan and Guangdong, and combined with French support from Indochina and restricted traveling, it's a perfect place to hide large projects.
Using French and Italian influences is a good move, only problem is that the biggest ships either country looked at was in the 45-50,000 ton range, with the Alsace and UP-41 designs. The French design armed with either 9x16 or 12x15 (David Latuch has done a very good job on these in the Never Were Threads), or the Italian UP-41 which was a 9x16 design (in the Italian Never Were section of the main site archive).
Translating those ships to a 90,000 ton class ship is going to take quite a stretch of the original designs.
That's the main issue I see. Even with the 450 mm gun I mentioned above, the French were looking at 40,000 ton battleships (sketchy, but that's the most we have), so going for twice the tonnage is quite outrageous. Only if we're going for Maximum Battleship level of insanity (specifically Tillman IV-2) would this work out, and I have never seen any French designs or concepts nearing this.
Oh well, I'll see what could be done. We could have Hiraga Yuzuru accepting Chinese students in the early 1920s when relations were still warm (before the 1926 coup changed things), perhaps we might be able to use
Number 13-class as the basis.