How many consecutive checks of both sides can you make using only the pieces of the initial position (or less)? For example:
This is sort of interesting but I think you need to set more rules.
Your example seems to require that a different piece give each check. How often can each piece give a check? (There are 12 pieces. Is each of them required to move at least once every 12 moves?) etc,
How many consecutive checks of both sides can you make using only the pieces of the initial position (or less)? For example: