That would work. And don’t forget, the inference engine will allow you to pick the centre directly when using the Move tool.
Start the Move tool, hover over the midpoint of one edge for a second or two, then hover over the midpoint on an adjacent edge, and move the cursor back near the centre. You’ll see two faint dotted lines, and there’s an implied inference point at the centre when the Move tool is over it.
My screen capture program can’t show the Move tool, or tooltip, but they do show up in SU 2017, and the Move tool will pick the intersection of the dotted lines.