I'm not sure I understand your question - is it that you're no getting enough run time? The 3.7v/cell auto lipo cutoff is a little high, I run 3.4v/cell in mine and that lets me approach 80% of lipo capacity before the lvc starts.
The cutoff is not a hard one, that power loss at 10min is prob the cutoff. Try using a lower lvc. What you want to do with lipo is have a cutoff that lets you withdraw no more than 80% of the lipo capacity (4000mah for a 5000mah lipo) and not have the resting voltage drop lower that 3.7v/cell.