Doors and Windows - Door out of line, studs not straight

My basement is almost ready and I went to install my prefit door. One of the studs is not level and it causes the bottom corner opposite of the hinges to be 1/2 inch off, if you look the the door side ways you can see its not flush with the frame. Am I hooped? The only way I've been able to get the door aligned properly was to set the frame unlevelled with the stud but then the frame is a 1/2 off on one side making baseboard framing improbable, without alot of hacking at the frame to make it flush with the drywall.

Rather than correcting a 1/2" difference on ONE corner, make an 1/8" correction on all 4 corners of the door.

So, for example, instead of pulling the jamb toward you 1/2" on the bottom left... pull it toward you (out) 1/8". Then push the bottom right side away from you (in) 1/8". Then on the top left, push that corner in 1/8", and on the top right, pull that corner out 1/8".

The drywall that sticks past the jamb can be beat down with a hammer or chiselled out a little so that your casing will still lay flat on the outside edge.

How about the jamb that would then stick out past the drywall? Wouldnt there now be a 1/8" gap in two of the corners or is it so small that the casing should still line up half decent and hide it?

If you are using painted trim, caulking will easily fill minor imperfections.

I tried to adjust it 1/8" in each corner, but its still too much off to make it worthwhile - by the time I've adjusted each corner the imperfections I would need to clean up on the jambs outweight the original 1/2" difference in the bottom corner. I'm out of ideas unless I tear out the stud in question but the room is entirely finished awaiting carpet, and its just not seeming like its worth tearing out the drywall, mud and taping, the floor channel, etc to do this....

Suit yourself, but that's the way it's done. Where the jamb sticks out from the wall, joint compound can be added to flush the wall up, or the casing can be nailed back to the wall tight (at a slight angle), or as Marksr mentioned, the side of the casing can be caulked to blend in with the wall.

What you're dealing with is not unusual. The only other thing you could try is removing the door stop and moving it in a bit to allow the door to close a bit farther.

The door stopper is not on right now and thats really going to be the only noticable imperfection as it will be a bit off on one corner. Do you have any pictures of door jambs being repatched like mentioned?

Pictures? no.

If you could stop at a home under construction and see doors and trim being installed and then go back a week or so later to see the finished product you will understand it isn't that big of a deal.