I agree that it takes a period of time for loved ones to become comfortable. It was hard to ask others to trust me on this since historically I had been untrustworthy. But the journey is theirs alone really when it comes down to it. Time for them to become accustomed to you as a non-drinker does help though.
I guess you could shut up and live with it, but that seems counterintuitive. I dealt with a similar situations with short, heartfelt statements. They have not always been well received, but I feel like it's important for me to be clear and direct. I can't do anything about how it's received. There are times I still have to remind others that I did not depend on them to drink, nor do I depend on them to abstain. But I love them for loving me
Whatever you decide to do I hope it works out well for you.