I fully agree with Bang Guy here.
As for the iodine dosing, a) don't dose if you're not testing, iodine can have terrible effects if too much is added and b) water changes usually replenishes enough iodine into the system unless you're doing bi-monthly water changes.
You might not be finding any remnants of the dead critters because you may have enough other CUC members to clean it up quickly.
How long do the inverts live for before they disappear on average?
I'd raise levels to 1.025-1.026. This is the happy medium. It accounts for evaporation and getting a little higher without harm or a little lower without harm. Just out of curiosity, what salt are you using?