Me too! We've been considering migrating off Lambda native to serverless or Chalice[1], but I keep thinking kubernetes is perfect for self-hosting this (or could be? Maybe?). I have one thing bookmarked in this direction, funcktion [2], and another that looks less... mature, open lambda [3] but would love to hear thoughts/other options if anyone has tried any of these.

[1] https://github.com/awslabs/chalice [2] https://github.com/fabric8io/funktion [3] http://www.open-lambda.org/