Nonequilibrium Candidate Monte Carlo (NCMC) provides a framework for translating insight about the system (in the form of a naïve Monte Carlo proposals) into practical algorithms that retain some of the advantages of Monte Carlo while providing dramatically higher acceptance. The motivation is that it can be easier to construct a finite-time proposal process (a nonequilibrium "protocol") that achieves high acceptance rates with short correlation times than to construct a successful instantaneous proposal. In the dimer example above, instead of instantaneously proposing a single large dimer extension move, we may construct a nonequilibrium process including a sequence of small dimer extension increments. If, after every incremental "perturbation," the rest of the system is allowed to "relax"/"propagate," then we might end up with an acceptable proposal that has crossed a free energy barrier. NCMC itself has already seen some use in a variety of capacities, including driving torsion angles to increase sampling, performing constant pH simulations and creating an osmostat to simulate under macroscopic salt conditions. NCMC was originally presented in a very general setting, where (1) the target distribution is an expanded ensemble of configurations and thermodynamic states, (2) the protocols may mix arbitrary sequences of steps, and (3) each proposal is drawn from a distribution over protocols. Here, we consider a special case where we have only a single thermodynamic state, a single time-symmetric protocol, and a simple "perturbation kernel," so many of these terms cancel out and leave a simpler exact expression for the acceptance criterion. We make a further approximation in the acceptance criterion to improve performance, as we discuss further below.