Probably too big or something, but have you looked at the BLF special edition 348? Looks really nice.
I use the ebay charging boards, I would think that if you added a resistor or possibly used a solar panel the current would be small enough to keep from charging 10440 too fast. They’re cheap, plug in to mini or micro usb (cell phone charger. ) I suppose they’re a bit of a crapshoot, though, you’d have to test