Have you done the resistor bypass so the glow plugs are pulling off just the front battery? If so, with the cold temps you are having it could just be the after glow going on as the engine warms up and the alternator is already having to work pretty hard to charge up the battery after the pre glow. The chirps could just be the alternator taking the load and a slightly loose belt letting you hear it.
Either bypassed or not. If you start turning stuff on right away after start up, it will put a huge load on your battery and alternator. Waiting until the voltage gauge clicks up into the green after start up and stays there before turning on lights and the heater fan will help.
I would suggest you let the truck warm up and drive it around some. Then with everything off. Put a volt meter on the front battery terminals. It should be 14.4 volts at idle. If you are lower than that, you either have something drawing or a regulator going. If it is ok, start turning stuff on. The voltage will drop down some, but the alternator will start bringing it back up. It might also be a good idea to load test your batteries. This could just be a battery dying on you.