I just can't get by having to kick at balls. It just seems that there would be a more strategic and skilled way to play other than one-foul without having to go to two-foul. What you describe above does get rid of BIH and does go a long way to getting rid of the incentive to play safe.
Rules that are good should not only work well for a tournament match, they should also work well for a gambling match.
If I play a safe, you should have to kick at the ball.
But if I miss a shot, and leave you hooked. That's a different story.
The obvious remedy is to play call safe, which is fine by me. But a lot of people seem to think it takes away the two way shot.