so if you need to halt the schedule for any reason, you can't do that currently using any of the available Bitcoin infrastructure.
You mean you can't do it automatically? It pretty much sounds plausible to do it manually, and it sounds easy to automate it in a wallet software either.
For Bitcoin, its automation is only possible if you are continuously able to sign and broadcast transactions every period. This requires your wallet password to be available somewhere for the computer to access without your supervision, which is a huge security risk.
The alternative is signing a bunch of future transactions using future, unconfirmed inputs, which has its own set of problems e.g. what happens if they are broadcasted all at once?