Rinse mine off in the sink to get the bulk of the mess off, then toss it in the washer by itself with no soap on small load/delicate cycle. Pull it out of the washer and throw it on the line. Then spend ten minutes looking for it next brewday in my equipment box before remembering I left it on the line.
I spray it off with the hose and air dry. Anything that comes in contact with it will eventually be boiled anyway. I did do a RIS in it a few brew days back, and it's darkened a bit, but other than that, it seems fine.