No Big Problem Here!
The shallow bilge in earlier Catalina 320's is not a serious issue. I own hull #222 with the shallow bilge.There is a "bilge tray" located on the centerline of the boat under the salon area. Pull up the inspection hatch in the cabin sole to access it. The bilge pump is located in the rear compartment of this tray. If you have a leaky stuffing box, water flows directly to the bilge pump pocket. When you heel sharply, it is possible that some water can spill over the top lip of the bilge tray into the hull area around the bilge tray. If necessary, this water can be extracted by removing the starboard settee cushion. It is possible to substantially eliminate the problem by installing a dripless shaft, dripless packing or just by keeping the stuffing box properly adjusted. Many C320 owners report completely dry bilges with these steps.