I quit drinking recently (just hit a month wow), and so far it's been fine because I'm spending all of my time alone or working/doing errands. I don't like drinking alone so it's been fine, but where I live now the ENTIRE social scene is bars and clubs, so I can't meet anyone without being sober in a room full of extremely drunk people. I don't like clubs to begin with, and there's not really any quiet, sit down pubs around here where I could just get a soda and relax.
I used to pound drinks with my buds, but now that I'm seeing demonstrable health benefits of quitting (I have epilepsy and alcohol was giving me seizures) it's getting less justifiable to consider drinking again. I could smoke weed but it often makes me quiet and awkward when alcohol makes me outgoing and confident, which is what I really need right now. Also weed makes me shit at darts and pool.
Just carry a giant flask of water (or green tea?) and do whatever you want. If anyone asks to have a sip of what you're drinking tell them that they can't handle it.
If they lift it off you and discover that it's non-alcoholic say "you can't handle sobriety" and send them into instant depression.
edit: on a more serious note; I'm seeing a push in the marketplace for low ABV products. Like "Non-alcoholic" IPAS, Kombucha with trace amounts, and Kvass with like 1% abv. I don't know if having something like that available would make it feel less jarring and still be healthy but I'd keep an eye out.