In this work, we analyze the viability of using a semi-empirical method and smaller basis sets to make large polarizability calculations more tractable. We first test the durability of popular semi-empirical tight-binding method GFN2-xTB (GFN2) through the additive polarizabilities of the D4 dispersion model, on both small organic molecules from Pub-ChemQC for which we expect GFN2/D4 to perform well, and highly polarizable species, for which we expect some degree of notable inaccuracy. Testing on a set of small organic molecules gives us a point of comparison which allows us to precisely identify GFN2/D4's strengths and limitations when it comes to polarizability calculations for larger extended systems. While it is understood that GFN2/D4 is empirically tuned to most accurately calculate the polarizabilities of relatively small molecules, testing this method on larger conjugated systems is of special interest since the same basic method used to compute GFN2 polarizabilities is also central to the D4 dispersion correction used widely with DFT methods on species of a wide variety of sizes and chemical structures. We also examine four basis sets of varying size and level of augmentation to determine whether smaller basis sets can be used to calculate large polarizabilities since they minimize issues regarding computation time and potential linear dependence.