I really am not being flip here Gary, but if its wood and has strings, its affected by temperature and humidity. In answer to your question, in a way, dry and cold is somewhat worse than wet and cold....same as heat. In other words, if I had to choose between temp and humidity, I'd control humidity first. Of the two temperature extremes, I'd worry more about excessive heat than cold.If you plan on being out and about in the extremes, be sure to buy a good humidifier for your case and a case cover is not a bad investment for the cold either.
Spaw