Ok, let me be a bit more clear with the UK/China.
Turn 1) China retakes Yun, places 4 inf in Szeshwan, along with moving an inf there and landing the fig. UK moves 4 inf from Malaya to Sham State, 4 inf, 1 art, 1 aa from india to burma, lands planes in SZESHWAN if you are scared japan will attack it will air to wipe out the chinamen. Absolutely no japan ground forces can reach them. Then builds either 4 mech, or 4 inf and a mech.
Turn 2) China retakes Yun, places 5 inf there, granting around 6-9 china inf there. UK then moves all forces they desire to Yunnan while making sure india cannot be taken (obviously). This gives you around 7(china inf), 5 inf, 1 art, 1 AA(burma UK forces), possible 4 more inf from Sham State (granted i would kill them as ANZAC inf should go there too, if japan doesn’t anzac can take Siam for an easy 6 bucks), and anywhere from 1 to 4 mech, and up to 5 planes. Japan is extremely thin on ground troops in the south for the first two turns. And yes, you may wish to rebuild that AA gun if japan gets planes in range of india.
At this point, India is secure, Yun has a monster stack, on japan 3 they will build a factory, on japan 4 they will build 10 inf, at this point you may desire to move the monster stack from Yun, to burma. Where it just happens to be in the way. This grants you an extra 10-15 china inf to go with the UK stack defending. Now yes, japan can bypass Burma, but that is costly and slows them down in the naval race. The US will not always be able to get a big enough fleet, but alot of times they can. And this is where the balance comes in. You may also want to let japan take burma on turn 5 if you can retake it with china and the UK, sometimes this is a good idea, sometimes a bad idea (good because it keeps japans air out of the fight killing your stack as your stack is doing the attacking, sometime bad because you loose too much). With the game dragging out this long you just may get lucky and get some US/ANZAC planes into that region as well.