Any idea for Deployment Tool or Processes

So I've been using gitlab and its webhook to call a server and do an automatic git pull(composer thing or any boot commands) for specific branch and server, there is also the envoy that we have as our command tool to execute repetitive console commands.

3rd, I'm aware about docker as a tool to deploy in our server. So we also have distelli as an alternative for TravisCI, to build things and deploy if success.

But the 3rd one seems to be the productivity is not that kind of good too for us developers, and our Ops already replaced the git pull into something docker could, so the deployment turns out having a white screen for about 2minutes (THIS IS NOT GOOD).

Could you suggest or tips? Post it here, maybe...