Just curious but what would be the losses if using a junk 12v battery for such low power items?
I mean I have some I have not tried to bring back to life yet, but they put out a reasonable 8V or such as is straight from the scrap yard.
So lets say you pump in 10V to a battery that only charges to 8V then run maybe 7.5V of LEDS off that 8V battery.
I don't know why, I guess one cell might be badly shorted, but I have a 9V (was 12V) battery that will heat my load tester. As a 12v it's junk currantly as it takes a charge and holds at only 9V. Since it does heat a 50amp load tester I would think it should be fine to run say 6-9V of lights for the yard or maybe some 12V computer fans at a lower speed. Just low powered stuff that works at variable voltages.
Since I think my LEDS are 1.5V-2V I can wire them to anything up to 6 for 9V very easy. Somthing I plan to do at least once, but I expect LEDS to take forever to kill the battery even without charging it any. Normal car sized battery, but a deep cycle.
I am sure there is a good reason that's not a good idea, but I haven't tried it yet, just something I was thinking about, and since a 12V battery only holding 9V should be easy to find and free (or scrap value) thought if it's worth a try might work for your solar pannels and LEDS project.