The proton transport mechanism we have identified for graphanol can be extended to other 2-D hydrogen bonded networks, such as graphamine, which has been previously, but incompletely, studied using density functional theory. The detailed model of proton transport mechanism developed in this work allows us to propose potential ways to optimize the proton diffusion activation energy, not only for graphanol, but also, potentially, for similar classes of materials. For example, a substrate other than graphane could be used to produce larger OH-OH distances, which would decrease the rotational barrier. However, this can also increase the hopping barrier. A careful optimization of the OH-OH distance may therefore be required to achieve sufficiently low rotational barriers. The functional groups could also be varied, to promote the formation of 2-D Grotthuss networks, rather 1-D than chains. This can provide a means to support long-range proton hopping with no need for rotations of the functional groups.