Ok I guess the coffee kicked in nicely because I have a solution for this, and now game caps going forward will be hard limits. Teams may be over the 162 game limit at C or the 810 limit at OF temporarily, but will be pushed back to the limits within a few minutes. This will be done by removing the most recent players locked at C or OF until we’re back at the correct game limits.
If you want predictability on who your 810th start is (to use @LaParka710 example), then only start one player at OF when you are at 809 games. Otherwise whoever the system locks last (which, the ordering there is a bit of a mystery right now) will be removed.