I thought Lithium's kept their voltage high right up until they are almost dead, with their amperage dropping off?
It may be a function of electronics in my Ryobi Lion battery packs, but they work great until they have no juice left, then nothing, unlike my ni-cads which start loosing their punch as the get used up.
The Lion's always recharge fine, and there is no warning with them to not drain all the way down, but then maybe they already incorporate the electronics you are looking to create for your project.