I am in no way a battery expert, but I'll try to help as much as I can.
A battery is basically two sets of conductive plates immersed in an electrolyte, typically sulfuric acid for lead-acid batteries.
You will also need acid-resistant separators to keep the plates from touching each other. If you can find some fiberglass sheet that you can cut up, I believe these will work in acid. Otherwise, thin glass epoxy sheets will work. These might be available from printed circuit board manufacturers as scrap.
Batteries work by ion exchange between the two sets of plates. Basically, the material from one set of plates is electroplated onto the other set. During this process, you get electricity. When the receiving plates are saturated , the battery must be recharged.
Now you need to charge the battery by inducing current flow in the opposite direction to reverse the electrolysis. Lead acid batteries are no longer usable when the lead is in a heap of lead oxide at the bottom of the battery compartment.
I don't know what antimony will do to the battery's efficiency. It will either facilitate or retard electrolysis. If you're serious about the science of what you're trying to do, you need to get a copy of the Periodic Table of the Elements and find out where these different metals are, on the chart. This will give you an idea which metals would be better as anodes and which would work better as cathodes.
The principle of what you want to do is sound. I'm just not sure of the efficiency of your homemade batteries. Still, I encourage you to give it a shot.
You also need to research electrolytes and find out if there are more efficient battery electrolytes than sulfuric acid.
Talk to engineers and those in the power generating industries. Maybe they can give you some hints that will make your batteries work better.