An air handling system (102, 300, 502), comprising: a thermal storage unit (114, 310) configured to: remove, under a given set of air conditions, thermal energy from air passing across the thermal storage unit (114, 310) and remove condensed water vapor from the air passing across the thermal storage unit (114, 310) and release, under another set of air conditions, the thermal energy, into air passing across the thermal storage unit (114, 310) and thereby heat the air passing across the thermal storage unit (114, 310) to reduce the relative humidity of the air; an air moving device (130, 308) configured to direct air across the thermal storage unit (114, 310); and a control system configured to control air flow through the air handling system (102, 300, 502) such that an air flow comprising air that has passed across the thermal storage unit (114, 310) is maintained below a temperature threshold and a humidity threshold under: the given set of air conditions and while the thermal storage unit (114, 310) is removing thermal energy from the air passing across the thermal storage unit (114, 310); and the other set of air conditions and while the thermal storage unit (114, 310) is releasing thermal energy into the air passing across the thermal storage unit (114, 310); wherein the air moving device (130, 308) is configured to direct the air flow from the air handling system (102, 300, 502) toward one or more thermal loads to be cooled by the air handling system. a thermal storage unit (114, 310) configured to: remove, under a given set of air conditions, thermal energy from air passing across the thermal storage unit (114, 310) and remove condensed water vapor from the air passing across the thermal storage unit (114, 310) and release, under another set of air conditions, the thermal energy, into air passing across the thermal storage unit (114, 310) and thereby heat the air passing across the thermal storage unit (114, 310) to reduce the relative humidity of the air; remove, under a given set of air conditions, thermal energy from air passing across the thermal storage unit (114, 310) and remove condensed water vapor from the air passing across the thermal storage unit (114, 310) and release, under another set of air conditions, the thermal energy, into air passing across the thermal storage unit (114, 310) and thereby heat the air passing across the thermal storage unit (114, 310) to reduce the relative humidity of the air; an air moving device (130, 308) configured to direct air across the thermal storage unit (114, 310); and a control system configured to control air flow through the air handling system (102, 300, 502) such that an air flow comprising air that has passed across the thermal storage unit (114, 310) is maintained below a temperature threshold and a humidity threshold under: the given set of air conditions and while the thermal storage unit (114, 310) is removing thermal energy from the air passing across the thermal storage unit (114, 310); and the other set of air conditions and while the thermal storage unit (114, 310) is releasing thermal energy into the air passing across the thermal storage unit (114, 310); the given set of air conditions and while the thermal storage unit (114, 310) is removing thermal energy from the air passing across the thermal storage unit (114, 310); and the other set of air conditions and while the thermal storage unit (114, 310) is releasing thermal energy into the air passing across the thermal storage unit (114, 310);