Can you try to list some example of what you have on your checklist? It'd help me understand your particular trouble, currently I don't have a good idea of it. Also, haven't read "the checklist manifesto", I understand you mean the book by the title. On technical side, there are pre-commit, pre-push etc. hooks in git, and bots like Travis-CI for github.
Checklist automation does not have to be graphical, and does not even have to look like a todo list. A list of failing checks, separated from waived checks (with clear signoffs from specific usernames), is generally sufficient.
Can you elaborate on how you accomplish this? I read the checklist manifesto a few years ago and started using checklists for things like checkins, code reviews, etc. I figured these kinds of lists could be automatable, but I was never able to come up with a UI that was easier than a pre-populated textarea.