The higher end models have an LCD on top, which together with the viewfinder information provides much the same functionality.
However, the cameras I have with the ability to also show the info display on the rear (top) LCD (from 40D to 1DX Mark II), they do allow you to lock in the information display. Simply press INFO button the required number of times, but don't turn the rear display off by pressing INFO yet again. Just take pictures, and the INFO display will come back to haunt you again.
It will of course disappear when you review images, as it can't show two things at the same time, but will come back again as soon as you cancel image viewing. It will also be on all the time, when you take pictures.

The only sensible advice is: Get used to using the top and rear (small) LCD, together with the viewfinder information. The INFO display is for special purposes only.