I'd say you shouldn't use linear regulators at all unless you have a very good reason for this. Also you could use power resistors, just calculate the resistance for needed voltage drop under max current. If the current will be smaller, hence less voltage drop on the resistors, then voltage regulators won't be at max stress anyway.
Let's go under the assumption that I will stick with linear regulators. This is more of a learning project for me than anything, dealing with high currents.
Your idea of using a power resistor is very interesting in that as you mentioned, the voltage across the resistor will increase as the resistance of the load decreases. I will have to give this some thought. The problem I see immediately is that for 5-10A loads, the power resistor that is in series with the regulators will do very little and the voltage regulators will wind up sinking a lot of current also. With a diode, there will be very little change in forward voltage drop as a function of the load. If the resistor could increase its resistance with the load decreasing, so as to keep the voltage going to the regulator relatively constant, that would be great, but now I am describing a voltage regulator
.
On the other hand the voltage across the resistor will be highly variable, while with my diode(s) idea the range is very narrow as a function of current. So, I would still like to know whether the diode idea is viable for such high currents.