Hi O'Brien, I too live in China. You can easily purchase Tetenal C-41 kits off of
www.taobao.com. I see most suppliers posting from Shanghai, but they ship quickly and reliably. I live in Beijing and have no problem receiving kits when needed.
Tetenal is a 3 bath kit, meaning it uses blix. Blix goes bad more quickly than separate bleach and fix, and there are threads here that cover other issues regarding the mixed bath. But Tetenal is just about the only game in town in China, so it is what it is. I suggest saving up your films until you can do a good batch at once, using up the working solution so you have no worry regarding it aging on the shelf between uses.
Regarding room temperature processing. Search this forum, there is another thread, started by me recently, where this was explored (again) in gory detail. Specifically Athril and PE discussed at length the use of a divided developer to replace the first developer step. The divided developer works to completion, making the result less susceptible (but not immune) to color crossover. Athril got quite good results from this, though he and PE agreed it wasn't perfect. However, for everyday images, or those you don't plan to enlarge but instead post process by digital means, you can probably easily deal with the mild color crossover.
The downside of that solution is you'd have to mix your own chemicals from scratch, and acquiring those raw materials in China can be difficult unless you speak the language well. I've never tried it, but when I move back to the US, in fact I will give it a try.
A Tetenal kit (to make 5 liters of working solution) on taobao.com will cost about USD$100-$120. (600-700 RMB). If used efficiently, one kit will process about 60-80 rolls of 35mm film (36 exp). It is more expensive than in the US, but not prohibitively so. Note that you don't have to make the full 5 liters all at once. You can make just enough working solution for your needs, reusing it until you either hit the limit for that volume, or it goes bad from sitting on the shelf, or you start getting bad negatives...
If you live in Shanghai you can go to the big camera mall there and buy it directly. If in Beijing, you can go to the Wukesong market and try to find some, but usually the chemistry retailers there are all out. Taobao is the most reliable and convenient source.
Good luck! And if you are in Beijing, you should join the photo group on Facebook, "Beijing Photo Walks". A few of us in that group do film, and can help you further.