Re: I'm so confused- check; don't check.
Finding dead bees on the floor of your colony can be an indicater of how the colony is, but from what you have reported, it sounds like they are doing well. Therefore, nothing more needs to be done to them at this time. In my opinion.
Think about individual bees as tho they were cells of an organism. New cells are being produced to replace old/dead cells. The dead cells must be removed from the environment in which the organism lives or else bad things can happen. That's why, during one stage of a bees life, bees are seen removing dead bees and other trash from the hive. That's why you found dead bees on the landing board and inside the hive on the bottom board.
So, if you can't stand to leave them alone, periodically remove the entrance reducer and pull what dead bees you find out of the hive. Otherwise, you can leave them alone for a while.
What do your fellow Arkansans tell you? Quite often beekeeping can be quite local.
Mark Berninghausen "To float, upheld, as salt water would hold you, once you dared." Denise Levertov, poet