I would use a lanolin/alcohol based pump spray in that case(Cheap), Dillon, Frankford Arsenal, other brands, all same stuff. A shallow sided cardboard box, same deal, shake well, spritz them, reach in and stir them about. Let alcohol evaporate completely.
I use it for .223, by the time I am done resizing, priming and loading, there isn't much left to clean off, they go straight into mags or get boxed up.