It sucks to say, but people who need to drink to have fun will always drag you along that path. It doesn't matter if it's a night on the town, or a board game night, they will always want booze around. Also, they will probably pressure you to drink, because that's what gives them permission to.
So find new people who don't drink. Do the normal things you would do, but without alcohol. It's still fun.
Meeting the people is the hard part I think. For that you probably need to find activities and events where booze won't be around. Find things you like to do sober, then find groups of people doing those things. Join game jams, or board game nights or take a martial arts class or a salsa dancing class or something.