(Abridged) As the stellar X-ray and UV light penetration of a protoplanetary disk depends sensitively on the dust properties, trace molecular species like HCO+, HCN, and CN are expected to show marked differences from photoprocessing effects as the dust content in the disk evolves. We investigate the evolution of the UV irradiation of the molecular gas in a sample of classical T Tauri stars in Taurus that exhibit a wide range in grain growth and dust settling properties. We obtained HCO+ (J=3-2), HCN (J=3-2), and CN (J=2-1) observations of 13 sources with the JCMT. Our sample has 1.3mm fluxes in excess of 75mJy, indicating the presence of significant dust reservoirs; a range of dust settling as traced through their spectral slopes between 6, 13, and 25 microns; and varying degrees of grain growth as extrapolated from the strength of their 10-micron silicate emission features. We compare the emission line strengths with the sources continuum flux and infrared features, and use detailed modeling based on two different model prescriptions to compare typical disk abundances for HCO+, HCN, and CN with the gas-line observations for our sample. We detected HCO+ (3-2) toward 6 disks, HCN (3-2) from 0 disks, and CN (2-1) toward 4 disks. For the complete sample, there is no correlation between the gas-line strengths or their ratios and either the sources dust continuum flux or infrared slopes.