I recently gave Fargate a try and was very unimpressed with the costs.
Anecdata is terrible, but my experience running 1 Fargate container 24x7 on the lowest specs (0.25 CPU and 512 MB RAM) to handle baseline was was going to cost as much as a no-contract T3.micro EC2 instance with much more capacity (2 CPU and 1 GB RAM). AWS Kubernetes was also a bust at $120/mo just to get started (that's the cost before an EC2 server is provisioned).