Guidance needed in setting up a timing system

Put that timing information in the RFID card - and of course make sure you have a card that's doing a lot more than just providing an ID.

Why? I prefer @lastchangename's suggestion of holding the configuration data in EEPROM, and just use the card to make a selection.

Which is going to be easier to change? Program a new card with new information, or access the configuration and change it on the Arduino?

If the configuration profiles reside on the Arduino, you can develop program without the RFID.

For example, define 10 set up profiles. Figure out how to identify each profile (name, number?). What data types, are in each profile? How many total bytes of information. Organize that data in a struct. You will use the included eeprom library EEPROM.h and the functions EEPROM.put() and EEPROM.get() to save and retrieve the data. There is an EEPROM library example to store and retrieve a struct with mixed data types. Each profile will start at a known address.

You can start by calling the profile to use from the Serial monitor. Calling it with an rfid card should be a simple transition.