I have mentioned this before, and will do it again. Bag the whole ceiling idea that you get with conventional framing, and post frame you garage. If you are dead set on a car lift, there is no better way. Don't add this plate, and subtract this stud length.......Post frame that garage, and you will have no issues. Look at this shot of the inside of my shop. I could jack my truck up 12', and still not hit anything.