Nah, just keep it. It doesn't hurt to keep it up and vice-versa. NCI monthly ranbats will run 2 hours late regardless of what you do.
If this was a major tournament, then that's a different story.
Edit: Just note that you'll be running three tournaments in one day - (1) you can't afford to let every straggler to come in late and (2) you want to prevent crossover matches. I recommend you space each tournament at least two-three hours apart.