Sometimes I carry just a Dooney wristlet. It holds my AP/credit cards/ID, cellphone, cash, and lip balm. I like wristlets better than crossbody myself, but that is a personal preference. This is for times when I don't want to carry a water bottle, sweater, etc.
It totally works as long as you don't need much. Many times when I return to the park in the evening, I just take my wristlet. Give it a try!