Ignoring the inlet side raw water flush odor issue for a moment:
Use the head as it was intended. That is, if you ate it, it goes in the head, along with a small quantity of TP. The system is designed to work with "the full Monty". One very effective system uses "K. O." combined with good ( make that real good ) ventilation. No problems. If you keep the "bacteria food" out of the tank, then the system will fail and will stink...
re: inlet side odor:
Normally this only affects the first flush after the boat has sat long enough for the raw water in the hose to get stinky ( due to dying live things that are in the water ). I always just made sure that I flushed the boat at least once every time I got aboard, as soon as I got aboard. It was never a major issue. I suspect that some of the strainer methods may work, or if if has become an issue, then change the head and use a pressurized fresh water system to flush. Note that it is possible for the -inlet side hose- to become permeated in raw water supplied systems. This means a periodic change of the inlet side hose fro time. ( not a bad idea, regardless. We are talking about a thru-hull hose and you should keep that type of hose "healthy" ).IMO.