The ones with the wedge running crosswise to the beam are nicer to use than those with the wedge running along the beam, in my opinion. You can set the distance, and tighten by squeezing in the wedge without risk of changing the setting.
Lots of beam cross sections work fine, if you round or chamfer any potentially sharp corners. If you use a square, just wedge so as to push diagonally into a corner. You can even use a round beam with a single flat for the wedge to engage, and the cutter will remain pointed in one direction. Then you can drill the mortise.