Roast, peel and seed the chiles. Try to keep the stem intact and try to make only one slit down the side to remove the seeds. Set the chiles aside.
In a medium bowl, mix the garlic, cheeses, shallots, sun-dried tomatoes, herbs, salt and pepper. Shape into 12 logs roughly the size of the chiles. Insert one log into each chile, pressing the chile flesh so that it adheres to the filling. If not frying right away, put the chiles on a platter or plate, cover with plastic wrap and refrigerate.
When it comes time to cook, set up a dredging station. Beat the egg with the cream and put in one plate. Put a generous amount of blue cornmeal in another plate. Roll each chile in the egg/cream mixture and then roll in the blue cornmeal. Heat the oil in a deep frying pan until it shimmers. Fry the chiles, two or three at a time, turning once, until they are golden brown. Drain on paper towels and keep warm in a low oven while frying the rest. Serve the chiles by themselves or with the optional garnishes.
I have had great success using dairy-free feta cheese and dairy-free Monterey Jack cheese. I also swap out the heavy cream for oat milk.