Static routing is the correct choice in this scenario because it allows network administrators to manually set up the network routes, ensuring that the path of the traffic is predictable and not subject to change, which meets the compliance requirements. Dynamic routing, on the other hand, would adjust the routes automatically based on the network traffic and topology changes, which might not be suitable for environments where route predictability is crucial. RIP and OSPF are dynamic routing protocols providing automatic path selection, which is not the requirement here.