This paper presents a framework for incentivising colorectal cancer (CRC) screening programs from the perspective of policymakers and under the assumption that the citizens participating in the program have misaligned objectives. To do so, it leverages tools from adversarial risk analysis to propose an optimal incentive scheme under uncertainty. The work relies on previous work on modeling CRC risk and optimal screening strategies and provides use cases regarding individual and group-based optimal incentives based on a simple financial scheme.