Exothermic reactions are favored because they release heat to the environment. Would an exothermic reaction be more favored or less favored if it were carried out within a superheated chamber?

No, an exothermic reaction will not be favored or less favored if it were carried out within a super heated chamber. In the super heated chamber the heat will flow back to the reaction (considering heat emitted by the reaction is less than the heat in a super heated chamber). So, the reaction will shift backward instead, the product will again change into reactant.