The cluster environment has been shown to affect the molecular gas content of cluster members, yet a complete understanding of this often subtle effect has been hindered due to a lack of detections over the full parameter space of galaxy star formation rates (SFRs) and stellar masses. Here, we stack CO(2-1) spectra of z similar to 1.6 cluster galaxies to explore the average molecular gas fractions of galaxies both at lower mass (log(M*/M circle dot) similar to 9.6) and further below the star-forming main sequence (SFMS; Delta MS similar to -0.9) than other literature studies; this translates to a 3 sigma gas mass limit of similar to 7 x 109 M circle dot for stacked galaxies below the SFMS. We divide our sample of 54 z similar to 1.6 cluster galaxies, derived from the Spitzer Adaptation of the Red-Sequence Cluster Survey, into nine groupings, for which we recover detections in 8. The average gas content of the full cluster galaxy population is similar to coeval field galaxies matched in stellar mass and SFR. However, when further split by CO-undetected and CO-detected, we find that galaxies below the SFMS have statistically different gas fractions from the field scaling relations, spanning deficiencies to enhancements from 2 sigma below to 3 sigma above the expected field gas fractions, respectively. These differences between z = 1.6 cluster and field galaxies below the SFMS are likely due to environmental processes, though further investigation of spatially resolved properties and more robust field scaling relation calibration in this parameter space are required.