My daughter has CRPS in a leg and an arm and recently had her wisdom teeth out. I too, was nervous about a flare, and I won’t say that the process was easy for her, but the increase in pain that she experienced really seemd to be directly related to the surgery itself and not systemic. She was in significant pain for four or five days, but after that she returned to her baseline.
I agree with visioniosiv regarding the vitamin C. There have been multiple studies indicating a correlation between the use of vitamin C and a reduced the occurrence of complex regional pain syndrome. Although I’m pretty sure all of the studies had to do with the preventing CRPS in the first place, vitamin C is cheap and safe, so I don’t think there’s any good reason for your daughter not to use it (unless of course she has some other condition or take some medication that wouldn’t work well with vitamin C). If you go to this page: http://www.rsds.org/researchlibrary.html and search for vitamin C - you can see some of the studies.

In addition to taking vitamin C (which she takes daily) we asked that the surgery be done under sedation instead of being awake like most people. We also requested a prescription for a few days of narcotic painkillers, instead of using NSAIDs, which I understand is what is most commonly recommended after wisdom teeth removal. I’m quite nervous about any long-term use of narcotics for her, but I felt that aggressive pain relief for this short period of time was important.

I hope that your daughter has a similar outcome to mine. Good luck!