Hexagonal lattices with close connectivity can commonly form extended atomic networks of triangular, kagome, and honeycomb patterns, each capable of hosting a broad range of unconventional electronic properties. Key examples are unusual states such as quantum disordered magnetic states or compact localized charge states that are stabilized via geometric magnetic or kinetic frustration. In certain scenarios, hexagonal networks can also realize structurally frustrated charge or bond order instabilities that impart lattice fluctuations that can couple to and renormalize electronic properties. In this talk, I will discuss our work searching for classes of materials where frustration can emerge in two separate sublattices of the material, in particular magnetic and bond frustration. Two examples will be discussed to motivate the possibility of interfacing strong structural fluctuations with neighboring magnetic networks and to provide some general insights into similar lattice instabilities in related compounds.