Not my area of expertise, by any means, but I am loosely familiar with CWI. There still remains a lot of disparity in terms of findings, and recommendations remain vague. That being said however, I am aware of a good piece by Versey et al. (2013) in Sports Med. - see link - on the topic, which reviews common practices and provides some protocol details. Typically 'immersion in 10–15 °C water for 5–15 min duration appearing to be most effective at accelerating performance recovery'.
Best Practice recommendations for recovery with CWI do vary but but I agree that Verset et al. (2013) is a good place to start (also includes contrast bathing recommendations). However, more recent literature identifies the problem with continued use of CWI and the negative impact on adaptation. Before providing CWI recommendations, the adaptive process of the training stimulus needs to be considered.
In the following paper you have several approaches to CWI: Hohenauer, E., Taeymans, J., Baeyens, J-P., Clarys, P., & Clijsen, R. (2015) The Effect of Post-Exercise Cryotherapy on Recovery Characteristics: A Systematic Review and Meta-Analysis. PLoS ONE 10(9): e0139028. doi:10.1371/journal.pone.0139028
Results are very clear: No objective markers improved; subjective markers show some interesting findings (i.e., DOMS reduction). All points to some placebo effect, but it may help some athletes.
Not a simple answer. Recovery programmes require an individualised approach focussed on the goals of the athlete, their training/competition schedule and the
environment they are in.
CWI temperature and duration should follow such guidelines. However most research is conducted ~10-15 deg C for ~10-15 mins