Setting aside, as a renewable one year test, 5% of scheduled play time for unscheduled neighborhood use, with rules like those at the Queen Anne Bowl.
Some neigbors dream that "we're looking forward to many CHS pick-up soccer games in the future". The field is going to be fully scheduled again, with no free time (except perhaps Sunday evening) unless we do something!
Some years ago, during the field lighting fuss, I visited the Queen Anne Bowl. The neighbors there had brokered an agreement with Parks that gave 5% of the play time on the field for neighborhood pickup use: the available times are posted at the field. Note that the Queen Anne Bowl neighbors have reported that "unscheduled use" can be (and is) used by teams for "informal" practice sessions. They have rules limiting practice to half the field if another team is there.
If pickup play time is something you'd like, we'd better get organized and ask for it at the meeting. Expect strong resistance from the sports leagues on this one.
BTW: I've long wanted a webcam looking out from the Community Center, over the fountain to the field. That would help you see if the field was available for you.