A combination of both...
I like Alternate Break with a 3 run rack limit in one inning. To elaborate, If a player breaks and runs out he will break the next game. If he misses in that rack, but still wins, the other player will then be returned the break.
If a player runs three consecutive racks, on the fourth game, even though he has not missed in his inning, the break will be returned to his opponent.
This format inspires competition and heart. A player can be stuck 7 to 3 in a race to nine, put a 3 pack on the board and be right back in the match, whereas with the alternate break, a 4 game deficit is almost impossible to overcome even with a heart of a lion.