1) Have you checked out alternators designed for small aircraft? These might well be the lightest available.
2) Liked the idea of powering off the output of the trannie. No high rpm drag...Agree, there's just a space problem with a C3.
3) What about a lithium ion battery? I think for a given capacity, they're about 1/4 the weight of a lead acid. Porsche offers this option but it costs $2500. I don't think lithium batteries are that expensive. If you order a Porsche with painted calipers, it's an $2500 option also....an example of how overinflated Porsche options are. Lithium cells are 3.7 volts, so you'd end up with a 14.8 vDC electrical system. Would probably require mod'ing the alternator voltage regulator to run at the higher voltage. NiCad batteries are about 1/2 the weight of lead acid. NiCad cells run about 1.2 volts. So a 10 cell NiCal battery looks good. I think some light aircraft have NiCad batteries and alternators. Maybe check this out. I don't think any light aircraft have lithium ion batteries. Two biz jet manufacturers dropped Lithium ion battery options. Boeing is of course in a world of trouble with Lithium ion, but a car, their remote chance of burning up is not that much of a danger. (Lithium spontaneously burns in air, ...and it burns in water!!! it's a MF'r to put out. Bizarrely, it will not burn in kerosene, so pure Lithium is stored under kerosene, diesel oil, etc. Of course, once it catches on fire in air or water, spraying it with kerosene is not going to work.)