A method and corresponding system for managing how long a UE will wait before attempting to be served by a RAN, such as before the UE searches for coverage of the RAN and determines whether the RAN supports providing a particular service. The method may apply in a scenario where the RAN is normally configured to provide the particular service but from time to time may lack support for providing that service. As disclosed, a network entity may evaluate past instances of the RAN lacking support for providing the service, and may thereby estimate a typical (e.g., average) duration for such lack of support. Based on that estimate, the network entity may then provide the UE with an indication of how long the UE should wait before the UE attempts to be served by the RAN, and the UE may responsively wait for that time period.