Totally agree with G'Burgs frequent scooping - I do Meows trays at breakfast and late evening; as long as the trays are (relatively) clean he digs little out. I appreciate you have the 'vigorous female digging' issue...In the past, I've made an outsize 'pseudo' tray, using cardboard with the sides folded up no higher than the height of the tray. The tray sits inside this, and it contains ejected litter pretty well. And, as it's cardboard, it is easily disposable should there be any 'accidents'.