Hi, my name is Ed. Welcome to Just Answer!.
The security system that's messing with you is called the Sentry Key Immobilizer System, which consists of a grey-colored key with an RFID chip and the module that reads it, which is referred to as the SKIM (or wireless control) module.
There isn't actually a way to disarm the sort of situation you're in normally, but what I'd suggest in this case is that you perform yet another battery disconnect. SKIM/ WCMs from this model year had issues with locking up electrically which could often be cleared with a prolonged electrical disconnect of 2 minutes or more. Oddly, the battery disconnect is what fixes it, not what sets it off... so you may or may not have success.
A crashed SKIM module means you cannot go for a ride obviously. Causes could include the possibility of a burned out fuse in the underhood fuse block but that seems a bit of a longshot. Actually, if you can locate the IOD fuse in the fuse block (called TIPM in this year), pull it out instead of disconnecting the battery. IOD is held in a white colored plastic fuse holder that has two tabs and is meant to be pulled straight up to disconnect certain systems for improved vehicle storage over long periods of time. SKIM shares this circuit and disconnecting IOD for 2 minutes or so usually settles the issue of whether the module is going to reboot... or not.
If you can't recover the WCM/ SKIM module, your choices will be limited to a tow truck ride to the dealer or having a locksmith visit you at the place where the truck sits. In addition to SKIM replacement, all keys in your posession will have to be presented so they can be introduced to the new module and if you happen to have a tire pressure monitor (TPM) system, all tire pressure sensors also have to be programmed. The truck will start and run with only the basic key function restored, but you'll have a perpetual TPM lamp on until the pressure sensors are programmed if the locksmith can't perform that function.
Let me know if you have any problems or questions.