Same course, different days
Each week (or fortnight) names a course and a window — say Monday to Sunday. Everyone plays it whenever they can inside the window. Because the course is the same, the scores are comparable even though nobody played together.
First round counts
If someone plays the course twice in a window, the first round they posted is the one that counts. Choosing the best one later turns the league into whoever has the most free time.
Trusting a score nobody watched
When players aren't in the same group, it helps to have someone else keep the card — a playing partner acting as marker, signed by the golfer at the end. A score far below someone's usual can wait for a second look before it counts.
Handicaps across tees
If players can choose their tees, play net and let each golfer's course handicap come from the tee they actually played. Or name the tee for the week, which keeps a gross table honest.
Settling the week
When the window closes, rank the field, hand out points by position, and post the table. A short grace period for scores still waiting on a signature keeps a late card from being lost.
The software part
This is the job TourCard was built for: weekly events with a course and a window, marker-kept cards, a check on outlier scores, and a points table that settles itself when the window closes.