Oh, I'm sure it'll be plenty strong. That's not what I meant. *grabs Visio*
Green box is the computer parts, blue bar is the handle. Yellow circle is your estimated center of mass.
Sitting on a flat surface, all is well (left). Where things get funky is when you pick it up. When this happens, because the center of mass is not in line with the handle, the orientation of the case shifts (right) to bring the center of mass vertically in line with the handle. This makes the case awkward to pick up and carry.
There are basically two solutions to this:
The first would be to shift the center of mass directly under the handle, so that when the case is picked up it remains vertical. If you were doing liquid cooling in this build, I would say build a big reservoir into the vertical wall.
The second option would be to shift the center of mass even further away from the wall, increasing the tilt. Increase the tilt far enough, and you can get a comfortable carrying position on the other side.