Hi mamaduck...Having read your post a few times, I have to agree with a few things your AH (alcoholic hubby) said.
a) You are trying to control him.
He's right on this front. Getting him to pass some test whereby he doesn't drink for X number of days is an attempt at control. And generally, attempts at controlling other people's behaviour result in frustration and disappointment.
b) If this is the way it's going to be, things aren't going to work out between the two of you.
He's right, but not the way he thinks. Eventually, you'll drive yourself crazy policing his drinking and trying to prove to him he's an alkie. At some point, you may well decide that you've had enough of this merry-go-round, and jump off.
As for what your family thinks of him, that's entirely HIS responsibility. His reputation is not your business (nor is yours for that matter). He chooses to sully his "good name" by continuing to make the choices he makes, on a daily basis.
Please go to Al-Anon and perhaps also to counselling. This is a horrid thing to go through alone. The support of your peers is invaluable at this time.