Molecular lines observed towards protoplanetary disks carry information about physical and chemical processes associated with planet formation. We present ALMA Band 6 observations of C 2 H, HCN, and C 18 O in a sample of 14 disks spanning a range of ages, stellar luminosities, and stellar masses. Using C 2 H and HCN hyperfine structure fitting and HCN/H 13 CN isotopologue analysis, we extract optical depth, excitation temperature, and column density radial profiles for a subset of disks. C 2 H is marginally optically thick (τ ∼1-5) and HCN is quite optically thick (τ ∼ 5-10) in the inner 200 AU. The extracted temperatures of both molecules are low (10-30K), indicative of either sub-thermal emission from the warm disk atmosphere or substantial beam dilution due to chemical substructure. We explore the origins of C 2 H morphological diversity in our sample using a series of toy disk models, and find that disk-dependent overlap between regions with high UV fluxes and high atomic carbon abundances can explain a wide range of C 2 H emission features (e.g. compact vs. extended and ringed vs. ringless emission). We explore the chemical relationship between C 2 H, HCN, and C 18 O and find a positive correlation between C 2 H and HCN fluxes, but no relationship between C 2 H or HCN with C 18 O fluxes. We also see no evidence that C 2 H and HCN are enhanced with disk age. C 2 H and HCN seem to share a common driver, however more work remains to elucidate the chemical relationship between these molecules and the underlying evolution of C, N, and O chemistries in disks.