As Mike mentioned, a properly installed purpose made
pump will also solve these issues.
Whale makes a line of automatic
diaphragm pumps specifically for this purpose, and no sump is required. And one
pump can handle waste from multiple drains.
We are in our third year [full time cruisers] using the
Whale Gulper 320 IC pump system for our
shower drains [two heads with showers] and it would
work equally well for sink drains...
These will pump anything that fits down the drain line, and empties the line because it keeps pumping for 10-15 seconds after there is no more water in the manifold (which is included with the pump.)
We put a drizzle of Rariton
CP enzyme cleaner [which also removes soap scum...] down the drain every few weeks to keep them fresh and clean.
You can fit the pump near the discharge fitting [preferably high in the freeboard or transom]
outboard of a vacuum breaker loop [as a fail-safe even though the Whale pump doesn't allow water to back-flow...]
Of course, closing the seacocks is cheaper, but also disables the sinks...
In case this is of interest.
Cheers, Bill