In a large metal bowl, combine the carrots, peppers, onion, salt and fish sauce. Toss well to combine.
Place the sugar and vinegars in a small pot and bring to a boil over high heat, stirring to dissolve. Once the mixture is at a rapid boil, pour it over the seasoned carrots. Let cool to room temperature before using. Store in the refrigerator for up to 3 weeks.
Place the black-eyed peas in a large bowl with enough hot water to cover. Soak for at least 15 minutes (longer, even overnight, is fine), until the skins easily peel off when rubbed between the palms of your hands. Rub the skins off the peas, letting the skins float to the top. Slowly pour out the water and the skins with it, leaving the peas in the bowl. Repeat until all the peas are cleaned.
Drain the peas and place in a food processor along with the onion, baking soda, salt, a splash of water and the black and red pepper, if using. Process until a smooth batter forms, adding a little more water if necessary. The batter should be smoothly blended, similar to the consistency of light hummus.
Pour oil into a large cast-iron skillet or other heavy, straight-sided pan to a depth of 1 inch. Heat oil to 365 degrees over medium-high heat. Reduce the heat to medium and, using a spoon, carefully drop 1 tablespoon of batter into the oil. Repeat until there are several dollops in the pan, being careful not to overcrowd. Fry until golden brown, about 2 minutes, turning the fritters once. Remove with a slotted spoon, drain on paper towel and keep warm. Repeat until all batter is used.
To serve, split ¼ baguette or a pita bread and fill with 3 or 4 fritters, a generous spoonful of pickled carrots, and some lettuce, tomato, onion and cilantro. (Alternatively, arrange accara, without the bread, on a platter and serve with drinks.) Serve immediately.