There is no way to manually re-initialize a subscription in these cases (unless someone asks the subscribe URL)
A) Renew fails on monthly anniversary, but website still thinks subscription is still active for a few hours/days depending on when billing is attempted
B) The card has been changed mid-month and user just wants to take care of changing it over right away

Possible solution:
Always providing a manage subscription options link could resolve this? Inside that page, providing a manual renew link might be a good idea? But may have a risk of people accidentally double subscribing, so ensure warning and maybe link to BMT customer portal for people to double-check.