We propose arrays of plasmonic C-shaped ring based nano-pillars with an ellipsoidal cross-section as effective surface enhanced Raman scattering (SERS) substrates. Exhaustive finite difference time domain (FDTD) simulations are used to demonstrate that the arrangement of these C-shaped nano-pillars influence their plasmonic interactions which strongly affect the electromagnetic (EM) field and thus the SERS enhancement achievable using these. The various geometrical parameters such as the ring thickness, the opening of the C-shaped ring cavity, and the height of the nano-pillars are tweaked to explore their effect on the EM enhancement and the SERS enhancement factor along with the plasmon resonance wavelength. The effect of varying the material of the nano-pillars on the SERS enhancement factor is also analyzed. The maximum SERS enhancement, including a chemical enhancement factor of 102 that can be using the proposed substrates is of the order of ~108. Thus, the proposed substrates can be employed effectively for sensing chemical or biological analytes.