We took our product for a spin and we benchmarked Aurora MySQL with network load balancer (NLB) and read-write splitting. Please see the video below to see the setup process as well as the benchmark numbers.
Please note that we use SmartAMI machines only but if you prefer to use a standard Linux of any kind feel free to do so. It is just the easiest for us to take something that works for sure as we tested it before. That's why we use Ubuntu, phpMyAdmin, etc that are served by SmartAMI on AWS Marketplace.