Cut chilies open and line 8" x 13" baking dish with them. Layer both cheeses evenly over chilies. Add any remaining chilies over the cheese layer. Mix flour with small amount of milk; using a wire whisk helps to make a smooth paste. Mix in remaining milk and sour cream. Beat in eggs, one at a time; add diced meat. Pour over chilies and cheese; bake for 30 minutes at 350 degrees. Pour salsa over top and bake an additional 15 minutes.