Apparatus, and an associated method, for facilitating selection of with which wireless local area network, or other network, that a mobile node should attempt to communicate. A plurality of listings are maintained at storage entities embodied at, or otherwise accessible by, a mobile node. The listings are accessed, in sequence, and entries contained in the listings are compared with networks in whose coverage areas that the mobile node is positioned. Communications are attempted to be effectuated, if possible, with networks in whose coverage area that the mobile node is positioned and whose identities are stored at the first-access listing.