The last CAP reform provides Member States the option to apply the Basic Payment Scheme in finer scale than the national level, termed hereafter as regionalization. We use a farm model that represents almost 90% of the Greek commercial farms for evaluating a wide range of regionalization scenarios. Exploratory Data Analysis is used to get insights from the model results. More specifically we compare the general features of four different types of regionalization schemes, namely a single region, an agronomic based, an administrative based and a hybrid administrative-agronomic regionalization. We also perform a trade-off analysis of selected pairs of policy objectives, e.g. the uniform basic payment unit value vs. the political acceptability, etc.