I also get dry skin when the humidity drops and it gets colder. Putting a shaving oil as a pre shave and a skin food or moisturiser post shave is really effective

REN make men's really good pre and post shave products. They sound expensive but they go along way and they do what it says on the tin. They work. They protect your face during the shave and they put back the oils that the shave and the dry atmosphere remove.

Also Geo F Trumper make a post shave skin food which is just great for dry skin.

A less expensive and really very effective option is to put some Aloe Vera gel on your dried face and after your shave

Shaving creams are generally more oily than hard soaps and I agree that of the hard soaps, almond oil soaps is the least offensive on dry skin.