Well, that size battery is extremely limited in power due to its small size. Add to that, you are using this battery in a VV regulated mod which will draw even more power from it than a mechanical mod would, and the time of use between charges drops even more. These facts are the reason why you don't see many mods that use this size of battery.
Variable voltage (regulated) mods use buck boost circuitry in their processor to adjust voltage up or down. This requires the use of a
"high drain" battery - ie an IMR (li-mn) unprotected battery. These are also called safe chemistry batteries because they do not need protection circuits built into them.
The best battery in this size and class is the
AW 14500 IMR 600 mAh battery. Other brands of this size and class may advertise higher mAh ratings, but in my experience those ratings are way inflated and not to be trusted. For example, I've used both the AW and Efest batteries in this size, and after a couple of weeks the Efest's time of use fell to half of what they were when brand new. The AW's are still working good as new.
BATTERY BASICS FOR MODS: IMR OR PROTECTED ICR?