This post became way more interesting than I expected.
Lets put a new twist on this variant.
Instead of the king being moved by the players, a number between 1-9 is generated. The number dictates how it will move.
1 - forwards
2 - forwards-right
3 - right
4 - backwards-right
5 - backwards
6 - backwards-left
7 - left
8 - forwards-left
9 - no movement
This should make the game much more interesting. If the King gets a number which checks it, then a new number is generated.