We have chosen k8s and I would again, because its nice to use. Its not necessarily easier, as you point out, the complexity of managing the cluster is considerable. But if you use a managed cluster like EKS or DO's k8s offering, you don't have to worry too much about the nodes and the unit of worry is the k8s config and then for deployment you can use Docker.
I like Docker, because its nice. Its nice to have the same setup locally as you have remotely.
In my experience the tooling around k8s is nice to manage declaratively, I never liked working with machines directly because even tools like Chef or Ansible feel very flimsy.
The other thing you can do is run on ECS or similar, but there the flexibility is a lot lower. So k8s for me offers the sweet spot of being able to do a lot quickly with a nice declarative interface.
I'd be interested to hear your take on how to best run a small cluster though.