What type of golf ball responds best on the green?

QUESTION: Although hard to believe, I compete in Professional MIni Golf tournaments around the country and was wondering what type of ball would perform best on the green (min golf course lol). I seem to like balls with a lower compression (Maxfli Noodle, Volvik Crystal) yet after reading up on the design of golf balls, I am not sure that this is the right decision. What type of balls (compression, three piece two piece etc.) would help increase my performance. ANSWER:

Answer by arachdog
I've always assumed that golf balls usually just focus on distance with a case hardness where there is a trade off between control and durability. I have never heard any ball to be more accurate on the putting surface. I'm prepared to be proved wrong though.