To enhance the low-carbon characteristic and renewable energy utilization rate of regional integrated energy systems (RIES), a low-carbon economic scheduling method for RIES considering the coordinated operation of power-to-gas (P2G), carbon capture and storage (CCS), and hydrogen fuel cells (HFC) is proposed. First, based on the concentrated carbon emissions of traditional thermal power units, CCS is integrated to create a more flexible carbon capture power plant (CCPP). Second, HFC is incorporated into the two-stage P2G process to refine the utilization of hydrogen energy. A comprehensive P2G-CCS-HFC model is established, and under the constraints of hydrogen energy balance, the impact of different equipment decisions on the overall optimization cost is analyzed. Simultaneously, dual market mechanism incentives of green certificate-carbon trading and comprehensive demand response are introduced on the energy supply and demand sides, respectively. Finally, considering the uncertainty of wind and solar power, and using historical data, a scenario-based and data-driven distributed robust scheduling model is constructed with the objective of minimizing the total cost. Simulation results based on case studies show that the proposed method effectively reduces carbon emissions, promotes renewable energy consumption, and offers a reference for low-carbon economic scheduling in RIES.