How to Check Uni body for Straightness

Yes that can tell you if your height is even but not necessarily correct. So many other variables.
Here is a whole book about centering gauges. http://www.chiefautomotive.com/manuals/accessories/UGMS Users Manual.pdf
Back when I was using centering gauges, I rarely used the "datum" spec. If length and width is correct, the sheet-metal ultimately set the height.
Then there is the upper body that can still be bent after the frame is straight.
In collision repair we try to get it all diagnosed at once and virtually reverse the collision.