Two things I can think of.
First someone mentioned a turn signal flasher once when we were talking about pulse chargers and such. I think that would work well here. You would be sending pulses of currant to the battery to charge it. I would think for the type of use you described pulse charging might be a good option for this battery. I would think the flasher would waist less juice than a headlight, still supply full volts and amps, and maybe the pulsing would extend the battery life a little also. Though I don't think that the real pulse chargers are quite that simple, it should work.
Also you could use the flasher plug sort of as a switch, take out flasher and circiut is dead, connect battery and insert flasher to turn on the circuit. Use an inline fuse also.
Those resetting auto breakers are good for alot of things too, cheap at the parts stores and about free from a junk yard. But they aren't very good for some things too, since they reset instead of blowing they can almost act as a flasher and that's something you don't want if you have an arcing short.
As for
"If you connect a low battery at, say, 11 volts to a mostly charged bank at 12.8 or so the higher voltage bank will do its best to blow as much current into the second battery as it can trying to raise it to the level of the big bank. This can easily exceed the second battery's ability to absorb the huge inrush of currant and a likely result will be damage to the battery or other items like the stuff that the explosion splashes acid on"
You mean sort of like connecting jumper cables to a dead car battery and a fully charged battery with the vehicle running and a 100amp altenator??
I do that all the time and never had a problem yet! Seems like that would be about the same thing really.
If the vehicle is hard to start I let it charge that way for awhile to get juice into the battery. If easy to start then I just connect and crank then disconnect and let the altenator charge it.
Either way is hammering alot of amps fast into a dead battery.
Also I have booster jumpers that kick out 500 amps for starting cars with dead batteries, though I don't know if it only kicks that 500amps out when under the load of the starter or as soon as connected to the dead/weak battery.
And I often kick about 100amps into a dead battery with my 1 ton truck. It has a selector switch for bat 1, bat 2, both, or none. Often one battery is dead, REAL DEAD, so I start on the other and switch to the dead one for charging. My 100amp altenator has buried the needle on a 60amp gauge many times, and the gauge no longer works now either. Never a problem with the battery though.
Actually, will the power supplie force alot of amps at the dead battery, or will the dead battery draw amps from the power supplie? Kinda like a 1000 amp battery bank suppling juice to an inverter? The power is not forced into the inverter, it draws the power. So 1amp is all the inverter gets if only drawing 1amp, but kick on something heavy duty and the inverter draws a sudden surge of 500 amps from the bank.