In case you need any medical back up, you might check out this commentary on ice treatments for crps which discusses why it is not useful for crps.

http://www.rsdhope.org/crps-and-ice.html

In other research I did briefly on line prior to responding, the use of a MILD contrast bath in warm and COOL not cold, not ice water is indicated in some literature for desensitization.

See page 2 in this example:
http://www.rsds.org/pdf/ptotbrochure_604.pdf

So, I guess what I am wondering is HOW MUCH contrast he/she is recommending, and I totally support your advocating for yourself in accepting or declining any recommended treatments. I have certainly declined treatments when they have been controversial, or have the potential of making my condition worse, and my PM has not balked at my frank discussions with her about my worries, concerns and need to understand and agree with my treatment plan.

I am wishing you the best success possible and hope this somewhat contradictory information is helpful.

Aloha,
Jenny