Weakly-hard real-time systems enhance resource efficiency by allowing bounded deadline misses, but practical support in existing platforms remains limited. In this work-in-progress, we present the CBS-based Weakly-Hard Framework, which maps tasks with$(m, K)$constraints into Constant Bandwidth Server (CBS) parameters under the SCHED_DEADLINE policy in Linux. The proposed approach requires no kernel modifications and guarantees schedulability through constrained-deadline EDF analysis. We implemented the framework as a user-space API and evaluated it on a Raspberry Pi platform. Experimental results show improved schedulability compared to existing methods and demonstrate potential opportunities for Quality-of-Service (QoS) enhancement.