So, based on what you are saying, I would NOT drill a ball with the Thrust core. The TX1 is too angular for what you're looking for and the TR2 even with a weak drill is too strong for most house shots (especially with low ball speed).
I would STRONGLY suggest a Red QZ1. The QZ1 Red rolls so much like the Fuze line balls. The Purple would be a bit too early. It is clean through the front and very smooth. The core dynamics are almost identical in the QZ1 to the Fuze line.
I would be interested to know how your previous ball was drilled to suggest a layout. By the sound of it, I would think about a 2 or 2 1/2 pin to pap. That layout will smooth the breakpoint and the shell will provide the length. If that is too early, you might think about a 5 1/2 with a big pin to val buffer.