Methods and apparatus for managing the power transmit level of Citizens Broadband Radio Service Devices (CBSDs) in a Citizens Broadband Radio Service Network. In an exemplary method embodiment a CBSD is operated to: (i) receive from a Spectrum Access System one or more of: (a) a power headroom threshold value used to identify cell edge user equipment devices (UEs) or (b) a channel quality indicator threshold value used to identify cell edge user equipment devices; receive a power down command from the SAS; (ii) identify based on one or more of the received power headroom threshold value and the received channel quality indicator threshold value cell edge UEs being serviced by the CBSD; and (iii) decrease transmit power of the CBSD by an estimated amount of transmit power required to support the identified cell edge UEs.