The key sentence is here: "Management doesn't want to enforce a process because it slows everything down."

Sounds like you answered your own question, resign move on then watch that ship burn, there is a limit to how much change a person could influence.

Sorry I know it is negative to think of it this way but its really hard to find a team that follows a process you enjoy. If you love testing and think that its the right way find a team that does that, don't waste time trying to convince people with a different mind set.