Okay updating you guys now, I wanted to enter only for darts all September then use all my darts in one session at the end of the month.
As it turns out I won all 4 times, for a grand total of 12 darts!
So, today I went to Nex with 12 darts. I did debate Nex V KK but came to the conclusion; I only have 12 darts and Nex's drop rate is far higher with a ~1/28 - 1/35 chance. I don't want to be greedy and end up with nothing
Results are here; http://puu.sh/bSuhe/66a76f61dc.jpg
TL;DR: 12 darts on Nex for 33.8m