Animal fats or anything saturated like coconut oil, ghee etc.
I prob use my frying pan everyday but don't do much high temperature cooking.
High temperature frying isn't your best bet when cooking because of all the AGEs and other carcinogens that can be created. It might also be damaging to the foods depending on how long you go for. Sauteing, steaming, or anything with water in it (like broiling, stews etc) wouldn't have this problem and keeping the temperature under 100 celcius too is an idea. Grilling and frying has been implicated in disease so I wouldn't do it too often.
But don't get too paranoid about it because the antioxidants and fibre from your primal foods would be protective. Using spices and herbs can also help.
"My mom made two dishes: Take it or Leave it." -- Stephen Wright, comedian