You mean the push out rule?
I kind of like that, but how about making it BIH after any miss? That would be too easy for good players, so make them hit 2 rails in addition to pocketing a ball... then we'd see what the best players can do!
Does it help enough in a rotation game such as 10 ball if, instead of BIH, the ball is spotted on the head spot or a "center spot" (between the center pockets) at the shooter's option following a miss? It stops safeties and provides more limited options than BIH. Definitely a shot clock to move things along.