Hope I'm not too late.
A few pointers and some thoughts.
1) Don't heat it up (indoors)- above 70 Degrees Celsius, it starts degrading and releasing Hydrochloric acid.
2) Judging from your description (cracking), you have rigid PVC. There was a thread debating the use of PVC as a body tube for HPR, but I can't find it. There were mixed results and lots of mad people, but in the end it seems that they agreed: Not for newbies (the OP) but for experienced HP builders, sure. (It actually wasn't "sure", it was "whatever" and "you don't know anything PVC is awesome")
If you can find builders paper or flooring paper in China, I'd roll a tube with that. (I'm definitely not in any way an expert on this but my thoughts are that if Phenolic can get cracks from landing on a fin, PVC will too.)
There's an Apogee newsletter on custom tubes. (With copy paper) It says to cover the paper with white glue (since it has vinyl in it) and after it dries, iron it to fuse the paper together and smooth it out.
The flooring and builders paper is found in home improvement stores in the U.S., but I can't remember whether they have the stores or not in China. If they do, paper cones are a possibility too. You might be able to use some PVC as a shoulder on the nose cone if you used it as the mandrel. Rigid insulation foam makes *ok* ogive nose cones.
3) THIS IS JUST SPECULATION (mostly- 1 is from Wikipedia, but since it applies to safety, it's problably good practice to follow.)
and questions...
Is pvc all you have?
How about induction stabilizing the rocket? The ridges on the metal eraser holder can be replaced with bamboo skewers (plentiful) and the motor recessed into the tube. Might need extra nose weight or a shorter pencil though. Also ignition...
Or call it sky writer and just take off the fins. (Don't try this at home)
Are the students launching the rocket?
Is it a learning project, conversation piece/ decoration, or just to scratch the High Power itch?
If you want a time consuming build, try a scratch sport scale of one of the
Chang Zheng rockets. (Further links on page)
I am a bit biased against pencil rockets though... I don't need any reminders on how I got poked by a really sharp pencil (or so it seemed) when I went to school in China.
The Chang Zheng 2E, 2F, 3, 3A, 3B, 4A, 4B, 4C, 5, and 7 have (small) fins, and the boosters on the 7, 3B, and 5 cause drag too. (Mostly from the change in cross sectional area. I think. Please correct me if not.) A scale model of these would problably not be threatening either, since the mission is scientific and discovery rather than war and explosions. And it's showing national pride (is that the right phrase?) and you can maybe use it to teach and it looks cool.
The nose cones are better made from balsa (or foam) than PVC or paper. A paper transition, maybe, but the tip should be carved.
I'm assuming you aren't interested in resin casting.
Also, if anyone knows, on the
CZ-7, are the fan shaped corrugations stringers? If so, why not straight like on the other stringers?
In any case, good luck with your rocket however you build it.
-Tony