Steve, you had created two identical threads by accident, I deleted one for you.
Now, to your question. First, I'd need to understand a bit more about your DSIII. My understanding would be that it is like a DSII in that it has a double hull and the centerboard is raised and lowered by an uphaul and dowhnaul. If that's the case, you might be experiencing something that is widely discussed in the DSII section of the forum, where the (dynamic) water pressure inside the CB trunk will squirt out water through the forward opening of, I believe, the uphaul. That water then normally runs into the cockpit, not the bilge (which on a double hulled boat is between cockpit floor and hull). I've been able to observe that phenomenon on a DSII and the amount of water is prodigious.
There may be other places water can leak from the CB trunk and end up in the bilge; I think you may find that discussed as well.
In either case, there should be ways to address this issue. Unless you constantly slam into waves and get spray over the bow, or sail in the rain, your boat should remain dry. I have a small leak around my CB pivot (but it's a modified DS1 design) but that contributes a few drops per minute, not gallons of water.
Remember, you can install additional access ports (deck plates) anywhere. The fittings aren't expensive and it's not a complicated job to install them. You may need some additional ones to help you find the source of your leak, but also, to be able to place any pump at the lowest point in the boat (which is near the mast).
You'd only need on of the smaller pumps, like this one:
https://www.fisheriessupply.com/rule-500-gph-low-voltage-bilge-pump-with-check-valve. You'd mount it on lowest point of the hull and then you would need to lead a hose from there to a point where the water can drain overboard. For example, going along the hull at 90 degrees to the centerline, up the side of the cuddy and draining perhaps onto the side deck for ease of monitoring. You'd need one access port in the cuddy floor to place the pump, a small hole to let the hose pass thorough (sealed with caulk) and likewise for the cables. If you plan on using a lead acid battery, you would place it near the mast. Or you could get a small LiIon 12V battery, which would be easier to take out of the boat for charging (and could be placed anywhere, they are so light).
However, I would contemplate this only is you plan extensive cruising with the boat - when it might make the difference in getting you home. Otherwise, I'd go after the source of the leak, and once that's fixed, rely on the hand pump for any emergencies (like the fix stops working).