Actually, from the tests they've made, it's not the freezing that kills you, it's the oxygen deprivation. Test subjects in a vacuum balloon up (like fat sausages) but don't burst (skin is tough enough to contain your innards) due to the expansion of gasses and fluids in your body. The vacuum also sucks out the contents of your guts so you puke and poop at the same time. Exposed wet parts (like your eyes, tongue and mucus membranes) do freeze up.
From memory, I think you get to stay conscious for 15secs or so, after that you lose consciousness. IIRC you've got about 1-2mins to be rescued and you'll get away with relatively minor injuries. Longer than that, your chances of survival drop dramatically. I hate to bring up TLJ, but this is one of the things they got right (about Leia surviving). I'll try to find a Because Science video on the topic.
As per hyperspace, I think that's different from Warp though? Warp is bending space and moving space around an object rather than an object actually moving through space. Hyperspace is travel through moving outside of normal space? Under warp you're basically standing still inside a bubble.
Edit: Aha some relevant videos:
https://youtu.be/3p1ndUL-yRY
https://youtu.be/OW3zGucJJag