I know for sure you don't want to use unprotected cell for your TW4 setup, the KL4 doesn't have low voltage cutoff AFAIK.
As far as which RCR123 best to power up your TW4 they're all almost the same, I've been using AW's and I get around 25 min runtime and I believe its 750mah.
How's the weather lately JKT?