One solution I am thinking is putting two regulators in series and have each one output down to .5 amps out, operating as current sources. then the third adjusts the voltage to 6.9 to 7.
Que?
It doesn't work like that. You achieve absolutely nothing by connecting two current sources in series. Why you would connect a third one (voltage regulator? he, he) in that configuration?
You cannot control both the current and voltage at the same time. You can control (set) one and limit the other.
In any case, I assume that you are trying to recharge some kind of lead-acid (maybe sealed) battery? If you want to keep the battery in good health, please familiarize yourself with the recharging algorithm.
Basically, you have two main approaches for the battery recharging, based on their intended usage: cycle charging for applications where the battery will get quite an exercise and top-up charging where the battery is an auxiliary power source.
For cycle charging, you can either do constant voltage or constant voltage/constant current. Let's see:
I) Constant voltage
- apply a nominal voltage (let's say 2.45 V) per cell until the measured charge current is stable for a few hours.
In your case, you can build a parallel voltage regulator with your LM317s (1-3 depending on the maximal current requirements) BUT you need to monitor in some ways the charge current to cut the charging process when the battery is full. If your source doesn't have enough current capability, it's not that nice: the supplied voltage will be lower at first (and the poor LMs, transformer will be very hot) and rising until the regulating voltage is met. Recharge time will be longer.
A saner/safer implementation of this scheme is the following:
II) Constant current / Constant voltage
- you start with a constant current (let's say 0.4C) and monitor the battery voltage until it reaches the 2.45V per cell (it takes ~2hours). Then continue for 3-4 hours with a constant voltage of 2.45V/cell
In your case, that means that you use one of the LMs as a constant current source, recharge the battery with that and then switch to another circuit configured as a constant voltage.
This scheme is safer in the sense that the maximal required current is always limited to a given value.
III) Two-step constant voltage and trickle charge are also possible.
All this to say that if you care about the health of your batteries, please charge them safely. Most methods require some additional control or monitoring. The constant current / constant voltage method is the most reliable but your charging circuit needs to monitor the voltage to detect when to change the charging method.
You can also find good and relatively affordable chargers.