In the context of low-carbon economy, financial constraints are prevalent among both upstream and downstream enterprises, aggravated by the tendency of online retailers extending into offline physical stores. The present work firstly proposes and evaluates three financing combination models: "bank lending + advance payment," (in short, AF), "bank lending + delayed payment," (in short, DF), and "bilateral bank lending." (in short, TF). It then examines the retailer's dual-channel supply chain pricing and financing decision-making models under unified pricing strategy and independent self-pricing strategy respectively. The evaluation results indicate that among various financing models, the independent self-pricing strategy holds potential for enhancing the retailer's profitability, outperforming the unified pricing strategy. In addition, when channel preference is significant, the retailer should prioritize the independent self-pricing strategy. Comparison of the optimal decisions across the three financing combination models indicates that both the cost coefficient of carbon emission reduction and the loan interest rate exert a limiting influence on the decision-making and income of all supply chain parties. Furthermore, the DF model emerges as a financing equilibrium strategy within the supply chain. The shift to the AF model as a financing equilibrium strategy is considered only when the manufacturer's loan interest rate is relatively high.