https://www.epicurious.com/recipes/food/views/chorizo-51123400 uses dried chiles
https://www.mexicanplease.com/easy-homemade-chorizo/ Uses a combo of dried chiles and sounds authentic although he is a gringo
http://www.seriouseats.com/recipes/2014/01/easy-fresh-mexican-chorizo.html This is the best one as by a Mexican lady and uses a lot of dried peppers plus she toasts the peppers then the spices in a skillet.
