I wouldn't choose a school based on 141 vs 61. Choose a school that is close to you, with a structured program, good instructors that won't break your budget (if possible).
Luck and personal relationships matter FAR more. My point from earlier posts was only that yes, hiring departments do care to some degree. And training success does relate to some extent to the rigor of your training. A structured part 61 school will do the same job as a structured 141 school. The trick is picking the right part 61 school. On average, part 61 is less structured (kinda by definition).