We propose a paired physical and controller design for a swarm of simple robots attempting to collect objects and convey them to a goal region. We show that a robot body featuring a curved tail, combined with a simple state machine controller, enables scalable foraging even in a highly congested environment. Through numerical experiments, we compare our approach to a benchmark controller that uses omnidirectional movement and predictive collision avoidance. Our results demonstrate that the proposed approach cannot converge as quickly as the benchmark at low robot densities, but comes to surpass it at high densities. These findings highlight the value of integrating physical design with controller design to achieve scalability in robot swarms.