Assigning a static IP to an ECS container hosted on an EC2 instance

My use case is that I want to be able to terminate and start my ECS container and have it be available at the same static IP that was available previously. The container requires inbound and outbound internet access at port 8080. I believe I need to use a network load balancer to route traffic from an elastic IP, but I am unsure how to associate the network load balancer with any EC2 instance that is launched by the Auto Scaling Group that is attached to my ECS service.