I use Vultr and ServerPilot. It should be enough for your needs, check it. You use own Digital Ocean, Amazon, Google or Vultr account there. Cost just 10$ extra and you get one click server install, one click WP install, one click Let's Encrypt. It does not provide a backup or any additional feature so it's lightweight server and not much can break there. (compared to bloated server with a lot of features).
To be honest "managed' mostly means a server setup and some UI for deploying a web app. After Linux and Server things (php, mysql, nginx ... ) are setup, it runs for years without some enormous "managing" needs.
I never experience any downtime or issues on Digital Ocean or Vultr.
Just check, for example FlyWheel, they limit monthly visits? There is already bandwidth limit, why also visits? Don't expect much for your money there.
Reality is that while some websites (for example WPchat) are hosted on few $ DO server and works smoothly, you will find many WP related business hosted on complicated and expensive infrastructure or "custom VPS" (Pagely, Amazon ...) but these perform worse with more issues.
... just my experience.