USB Rechargable is a Thing many companies offer Now..

Planet Bike and cats eye are 2 of them they should hit all your numbers


red LEDs dont draw Much so a Flashlight battery lasts a Long time* .. so, No faves, I have not Bought any .
AA I can recharge them

or (my Ideal) Wired to the headlight then to the Hub Dynamo types are My preference
Schmidt and Busch And Muller

* 20 year old Vista light is still working (now on my snow/ice Bike...Here it rarely drops below zero..



But if You work in a cubicle at a computer obviously Its easy to recharge ..