Is there any scientific literature that has examined thermoregulation in females during the various stages of the female menstrual cycle while exercising in the heat?
In case you consider a PhD examination committee being "peer reviewers" you might refer to the PhD of Jennifer K. Ormerod which is accesible through the following link: http://udini.proquest.com/view/the-effect-of-menstrual-cycle-phase-goid:897112273/
You can find an review about this topic attached to this answer FYI.
Dr Stacy Sims who is co-founder of osmonutrition.com and works as a physiologist at Stanford Uni, did her PhD encompassing this topic (Otago Uni), worth contacting her directly.
Search PubMed for papers by Nisha Charkoudian, Margaret Kolka and Lou Stephenson, each of them conducted research concerning thermoregulation and the menstrual cycle.