Before thinking about handing over management of the deployment, I would encourage you to think about what the root cause of the outage is and whether something in the app will create that situation again. I invested in setting up DataDog monitoring for all hosts with alerts on key resource metrics that were causing issues (CPU was biggest issue for me).
The other thing that's worked well for me is just keeping things simple. As a solo founder, time spent with customers is more valuable than time spent on infrastructure (assuming all is running well). It's a little dated, but I still think this is a good path to follow as you're building your customer base. A simple stack will let you spend more time learning how your product can help your customers best.
http://highscalability.com/blog/2016/1/11/a-beginners-guide-...