With the ignition off, fuse #5 was drawing 11 Amps !!
With the ignition off! That's strange, because with the switch at OFF, the tail and illumination relay should be open, and there should be no path for current to the bulbs. If you keep pulling bulbs, probably the current will fall to zero when there's no bulbs in the circuit downstream of the fuse. But why is there power at fuse #5 to begin with?
The 11 Amps current seems shocking (fuse #5 should be 10 Amps), but it isn't if we take into account that fuse #5 supplies current to at least eight bulbs; two front side marker bulbs, two license plate bulbs, two tail light bulbs, and two rear finisher (tailgate) bulbs. I don't know what bulbs are used in the 1999, but many automotive clearance and tail lights can use between 3/4 and one Amp. So there's going to be a fair amount of current in that circuit normally.
This means that if there's 12 V power going to fuse #5, there's going to be several Amps of current through it, even if there's no faulty bulbs (like the one that was found) or sockets. That being the case, it seems to me the real issue to be addressed is why there's power going to fuse #5.
Check for 12 V at fuse #5. If it's there then are you sure the Parking Light switch at the top of the steering column is Off? (If not, then turn it off and see what happens.) If the switch is Off, then try pulling the tail and illumination relay (to the right of the in-cabin fuse panel which to the left of the steering column) and see if the Voltage at fuse #5 disappears.
If it does disappear, then the relay is remaining closed. This could be due to an internal failure, or because the relay energizing coil is still being supplied 12 V from the ignition switch (not likely, but still a possibility).
If pulling the relay out doesn't change the Voltage reading at fuse #5, then there could be a short downstream of the relay to a 12 V line, or the Parking Lights switch could be defective.