I think the guys talking about using the battery to supply the amperage are spot-on. I have one of those new-fangled battery chargers that is supposedly "smart." It wont even push amps without a battery being hooked up, and then if it sees a bad cell, it flashes a code and shuts down. Piece of crap.
You may be able to get a junk yard 12volt battery and use it to allow the charger to push the amps into your anode/cathode setup? The swanky guys use dedicated DC power supplies. Personally, I use muratic acid and water, then a neutralizing agent of soda ash and water. Works well, but not as well as evapo-rust, nor electrolysis.
I hope you keep at it and get the results you're after, and post it up. [emoji106]