I think that would get a bit messy with no drip trays. I never leave any water in them though. When water drains from the pots I dump it out immediately so it doesn't just soak. A few drips always remain but nothing obscene.
I understand. At least make sure there is some kind of space between the pots and the drip tray. Most pots/drip trays are snapped together. That is too close.