You just have to be patient really and the only advice I can give is try to get bits of play time before you work in the morning if you can.
Also try to wake up early in the mornings on weekends since the queue starts to get going at noon.
Let's see here, three times a week I have to get up in the morning: on one week, I have to get up 4AM on Saturday, 3AM on Weds, and 6:30AM on Thurs. The other week, it's Sunday instead of Saturday (the Sunday and Saturday are back to back) for work. On Thursdays, I am so dead tired that I end up crashing and it's fricken hard to get out of bed early-morning, and same goes for the Monday after the Saturday-Sunday weekend. So that leaves me with what, 1-2 days a week I can possibly get on the game?

Also, this game loves to crash randomly on my PC. It is the 1-and-only out of 30+ games in my Steam library that I have played within the last year that does. Sometimes I can log on and it crashes to desktop with no errors after 5 minutes, though last week I got lucky and did a 6.5 hour session and no crashes at all. This means that waiting in a queue is absolutely useless, because God-Only-Knows how long I can actually play until I get a BS crash. And since unlike WoW, XIV does not save your place online, once I crash, that's that. I'm done because I sure as frick don't have 5+ hours to wait on a queue (and probably get 2002'd anyhow).

It's extremely frustrating. I actually care about the story of the game, and I can't hardly interact with any of my FC, I can't really talk to my friends much, because several of them have finished MSQ, and here I am just entered Garlemald, feeling quite alone and wishing I could just get on and get caught up.

And of course I get Lv90s who have finished MSQ talking down to me going "it'll be okay it'll be okay you're just being selfish" ... yeah, that's easy for them to say.