The inverse correlation between the exciton-lattice interaction strength and the exciton delocalization length is shown for dielectric organic nanoclusters - J-aggregates. Since the exciton delocalization length defines all optical properties of J-aggregates, it allows one to control them via the exciton-lattice interaction. We demonstrate the exciton self-trapping suppression in amphi-PIC J-aggregates as a result of the exciton-lattice interaction weakening due to the formation of a surfactant shell around J-aggregates. The control over optical properties via the exciton-lattice interaction for other types of J-aggregates is discussed.