Not to discourage creative thinking but I would be against any more complications to the game.
Kicking of all sorts is integral to Canadian football. Imposing a limit on punts per half would be an unnecessary and even detrimental restriction.
For instance, a struggling offence will punt more in a game. What happen's to a team who's defense has performed impeccably to keep a game close when their offense runs out of punts? That defense's effort is for not as the struggling offense is relegated to gambling on 3rd down with terrible field position. A modest lead turns into a blowout and therefore a less compelling game.
Will we also ban intentionally missed field goals and drop kicks used in lieu of punting? What about the quick-kick trick play to score on a punt with an onside man? Is that outlawed from scrimmage once a team runs out of punts?
We've already scrambled the rule book with special timing under 3 minutes, mini-game overtimes and different illegal kick out of bounds rules for kickoffs and punts.... we have rosters with nationals, internationals, quarterbacks and designated imports.. now we have a multiple option scrimmage point for the convert where you can go for 1 by way of putting the ball into play from the 25 or go for 2 from the 3 yard line but not be allowed to go for 1.
The game doesn't need any more complexity...