What stops you from using a switching 5volt/10Amp supply for the negative rail of the opamp and a 24-30volt/10Amp switching supply for the positive rail.
You should care about power loss in the opamp, because that makes it hot.
Learn about thermal resistances of chip>package>heatsink.
Keep that camera rolling when you charge a single NiCad cell with 4Amp.
We all want to see what happens.
Leo..