Here is a recipe for chili rellenos:
3 or 4 large anchos or anaheims
1 lb monterrey jack cheese
1 lb cheddar cheese
4 eggs beaten
2/3 cup cream
2 Tablespoons flour
1/2 teaspoon baking powder
1/2 teaspoon salt
Put chilies in large ziploc bag. Put in microwave 3 to 4 minutes. Let them steam up, then let set awhile. Open up chilies and take out the seeds(scrape). Line an 8 x 8 inch pan with chilies. Put shredded cheese on top of chilies. Blend eggs, cream, flour, baking powder, and salt together. Pour sauce over cheese and bake at 350 for 30 minutes.
Note: when I make this recipes, I use Meunster cheese instead of Monterrey Jack cheese. I cut the Meunster cheese in sticks and put them inside of the chilies. Then I top with the monterrey jack cheese.
Note #2: I do not claim these are authenic. But theses might be a tiny bit bettter for you than the fried version.