Short in Electrical system

try unplugging your abs unit and see if it stops. if it does then your abs may be bad.

I disconnected the large multi plug on the ABS unit. No change, still drawing 5 amps.

Did you disable all the hood lights and door lights and remove the keys first?

The system has modules on timers that have to be timed out before reading the draw.

Here are the instruction I give out.

You will need a digital ammeter and a jumper wire with clips on the ends to do this.
First rig any door switches so you can have a door open without triggering the interior lights and unplug the hood light. Remove one battery cable and attach the meter in series between the battery cable and battery post. Take the jumper wire and also attach it the same way. Leave the jumper wire on for at least 10 minutes to expire all the automatic timers. Now remove the jumper wire and read the meter. Anything over 50ma is too much draw. The way you locate this is to start removing fuses one at a time until the meter drops to normal level. This will be the circuit with something staying on. Determine what components are part of that circuit and check them individually until the problem is isolated.