BPW (for Beats Plurality Winner) is a Condorcet completion method invented and studied by Eivind Stensholt as an attempt to reduce burial incentive. It is only defined for up to three candidates and doesn't have an obvious way of being expanded to more. In the absence of a CW, one elects the candidate who defeats the FPP winner pairwise.
One could potentially extend BPW to all elections by 1) first eliminating everyone not in a particular set (i.e. the Smith set) before running BPW, and/or 2) using another voting method to reduce the number of candidates down to three.