This is the issue with chase systems. You'll need to risk 28 units on the Braves to win the original 1 unit you were after. Although, -200+ lines for each game of a series is rare. However, it certainly could happen if the Royals played at Yankee Stadium. If this did happen, let's assume the fourth game was at -200 for the home favorite. If the chase went to that game, you would need to risk 82 units to win the original 1 unit you were after. This is lunacy, as a game four loss would result in a series loss of 122 units. It could also create psychotic flashbacks every time you saw Yankee pinstripes.
Ultimately, considering that some series may go to a fourth game, I'd recommend a bankroll of 3,600 units if you're playing this system with your child's college fund.