Best way to find a Social LS is to shout for one in port jeuno, Just don't spam up the place.

Or shout in a start city area with Outpost NPCs, I think its Bastok Mines for bastok, North Sand. for Sandy, and IDK where for Windurst, I think its Waters?

The Outpost NPCs usually have people coming/going all the time, and Port Jeuno is just the main "hub". Could also use the "/yell" channel for it too.

Finding a good LS is difficult, social or not, but you'll get one if you look. Another good way is to ask people who you exp with, a lot of new players generally form LS's early on, so you can probably find a pretty good social LS by asking people you exp with.