Looks like I'm gonna install that "T" now.
So, how about this:
Change the dual connection "head intake and shower sump" and simply SWITCH the shower sump out and the sink out? It's just like a "T" and on my boat it's a straight into a 90 degree elbow.
Couldn't be simpler.
HERE'S HOW SIMPLE IT CAN BE
I did this today. Simply swap the head sink outlet with the shower sump outlet on the thru hulls under the head sink. [Years ago I bought a "T" and fittings. Don't need 'em.]
The REALLY interesting part is that once I redid the hoses and connected the sink out to the head, when I
opened the seacock, EVEN WITH THE HEAD SINK NOT STOPPERED UP, the head pump pulled the seawater through.
The ONLY downside is that now we have to open all three valves. In the past, I used to leave the (formerly) separate head sink thru hull valve closed unless we were on the boat for an overnight or longer. Big deal, great improvement, really simple. Since we shower on board, we use the shower sump regularly.
Doing this, and only using freshwater for ONLY the LAST flush of the day, plus using Odorlos (NOT through the sink, only through the head), should make the smells disappear.
Only necessary for us saltwater sailors.
Please tilt your heads 90 degrees (to the left), sorry I forgot to reorient the flix.
The only downside is the rotten hose connector at the bottom of the sink: it's NOT a barbed connection, just a straight plastic tube. Maybe one of those great places to use 5200!!!

PS (Jan. 2016) After these pictures were taken, I double clamped all the sink drain hoses.