Connecting copper pours in Cadence (OrCAD) PCB Designer
I finally called Cadence support, and they were very helpful!  Maybe there's a good reason to pay for their Maintenance Contract :)  This answer is for PCB Designer 16.6.  I don't know if it will be the same for earlier versions...

There are two methods to suppress thermals: the Global method, and the Instance method.  The instance method only affects a single (dynamic copper) shape.

Since thermal reliefs are generally helpful, I don't want to turn them off globally.  The Instance method, on the other hand, is just what I was looking for.

To set up the parameters for a specific instance, select the shape, then right-click.  Choose "Parameters..."



Or, if you prefer a global change, click on Shape > Global Dynamic Params.  Either way, it brings up the same window.  (you'd better remember which path you took to get there...)



Go to the "Thermal relief connects" tab.  Under Smd Pins, choose "Full Contact".  Perfect!



Take care everyone.  Happy Engineering :)