This dataset contains computational data related to the characterization of correlation sets arising in Prepare-and-Measure scenarios with classical communication assisted by arbitrary non-signaling resources. The dataset includes both input and output files. The input files consist of Python scripts and .txt files designed for use with the PANDA software package for polyhedral computations, while the output files are primarily .txt files generated either by the Python scripts or by PANDA from the provided inputs. Most of the data concern the characterization of convex polytopes relevant to these scenarios, including classical polytopes and those arising from adaptive non-signaling assistance, given in terms of vertices or inequalities, as well as auxiliary results obtained throughout the computational procedures. The dataset also includes implementations of linear programming routines used to investigate conjectures related to these correlation sets. Additional documentation and instructions for reproducing the results are provided in the accompanying read_me.txt files.