Look Again
If the through hull is below the bottom of the sink, you won't be pumping your bielge in to the sink, unless of corse you are at a great enough heel angle to put the drain above the bottom of the sink. On my boat that would be around 75' and then that would be the least of your problems as the bielge water would be up on the walls, not in the bielge anywhere near the pump. As far as using a check valve, that would defeat the vent, and if the through hull were to go below the water line, as on a port tack, then after the pump finihed pumping, you could just end up syphoning water back in to the bielge. The pump would go back on when the auto switch activated the pump and it would pump it out again, untill the batteries go dead. Use a vented loop. Check valves go bad, and will fail if any foriegn matter goes into them. Don't tell me you never had a noodle go down the dain in your sink.