This paper proposes an unconventional carpool-matching system concept that is different from existing systems with four innovative operational features: (F1) The proposed matching system will be used by members of an association and sponsored by the association, e.g., the employees of a company, members of a homeowner association, employees of a shopping center. This expands the scope beyond commute trips. Such associations can also voluntarily form alliances to increase the number of possible carpool partners and geographical reach. (F2) Service provided by a driver or received by a rider incurs credit or debt to a bank centrally and fairly managed by the association, rather than to each other. This removes requirement for service reciprocation by the rider(s) of a carpool to the driver of a carpool and hence frees partners of a carpool from long-term commitment; it also removes requirement for payment. (F3) Together with new security-inspired real-time information technologies, the common affiliation with an association can significantly alleviate the insecurity factor. (F4) When a rider belongs to two such associations, e.g., employee and homeowner associations, a rider's trip can be completed with a transfer by two drivers, one from each association. The service-system concept was motivated by an exclusive focus on human needs for convenience, fairness, security and user-friendliness, to maximize the potential of carpooling. We report on a software prototype already developed to demonstrate (F1) and (F2) and also suggest future enhancements. We also illustrate the complexity of the mathematical problems with a brief specification of an optimal matching problem.