You are making this difficult. switching players on a team weekly, certainly is not a team format. At best, you have a twosome that can accumulate wins and losses.
I would suggest just having every lane marked with players A, B, C, and D. Not names. Your schedule dictates where they are to bowl by lane. In this manner, you can enter the handicap (which is individually calculated) in the scorer by each bowler. And, let the scorer do the rest for the team game.
Each twosome would keep their own score on a league scoring sheet. Record each scores, cap and won or loss (Circle score for a win). This total will have to be kept offline from the house computer
, and tabulated separately. As any house computer
is not this sophisticated.
Point totals can determine the winner of the league by twosome won/loss record.
It may get complicated in a rolloff. Gotta think of that.
Alternatively abandon the TEAM concept and just roll head to head. Each bowler can win a game and series against their own opponent. If you want a twosome, then add the two point totals together on a spreadsheet.
Just my thoughts.