As for the hosting option, currently sadly AWS doesn’t offer Timescale as part of RDS. There are two options: Azure offers Timescale now as part of their hosted Postgres. Or you go with aiven.io who can host you postgres with TimeScaleDB on all cloud providers (AWS, GCP, Azure, DO, ?) as a service, including replicas and backups.
Overall, I’m very happy to see the Postgres ecosystem growing.