Nah, hyper sleep is when you don't have Faster than Light.
Actually, I believe the jump drive got a bit of a shout in the miniseries. Galactica herself hasn't done a jump in 10 years, and it's not exactly common for commuter traffic.
Apparently the military does train their forces for the transit discomfort (Cally bitches "I hate this part")
Things stretch out, as scifi tends to do with incomprehensible science, and then they all get smushed through the hole that just got punched in space, Harry Potter style.
To elaborate, teleportation in Harry Potter is called Apparition, and involves a feeling of being passed through one's own belly-button, or Navel, as the brits term it.
So those jackasses live a life in Victorian conditions when they can bless'ed teleport. Morans!
There could be any number of fully cromulent reasons for not using FTL. Maybe the envelope your ship is protected by during this reality hole punching is extremely flammable when they meet element of the week? Then you can't fly through there, can you? You've got to reroute, and that's gonna cost you!
Maybe previous use of the area has damaged space in such a way, FTL just doesn't work? Star trek pulled this one, but they got around it eventually. Or ignored it. They probably ignored it. Warp 6 speed limit it was. Wouldn't be surprised if they did it to stop baby writers from always pushing the Enterprise-D to MAXIMUM WARP!
As to gender politics, I've not seen Passengers, but I hear Mr. Pratt comes off very Jack Torrence in that one, and it probably won't lead to another minifig. (He's one of the most prevailant lego figures, because of all the franchises he's in now)
There's also using cryo-sleep because observing FTL travel drives the users insane, as seen in Stephen King story - "The Jaunt". Quite the mini-mind golly that one was.
Anyway, the colonials haven't bothered updating the tech, so they're flying around with 8-trac FTL drives.
Cylons of course, have i-Pods, and listen to cool stuff, like The Killers. also, they can go back to Caprica whenever they want, so NYEH!
I poo you not, that's why Starbuck was able to go back so quickly, Cylons have better jump drives.
Aww crap, I forgot to mention Screamers. Screamer has your battle-bot nightmare snake buzz saw robots. And humanoid robots! Which are gendered as Androids or Gynoids!
Eh, I don't have to tell you but stargate used creepy spider robots.