Pulled all the info from the thread to see it all at once. Here is what I've got:
Symptoms:
#11 fuse is still getting hot
brown wires going to the right side of fuse box getting hot
headlights off everything is good
gets warm with low beam
gets hot with high beam
with the engine off but powered up all lights - stock fuse panel is cool to the touch
motor running all lights on pulling 23 amps,
motor running all lights off pulling 18 amps
pulled fuses 1 3 and 4 - no change
Connected:
headlight power connected to battery
Headlight relay on/off power from high/lo switch
pc8 connected to battery
running lights connected to pc8
3 relay setup keyless ignition on/off relay power to pc8
Statements:
The lights being on or off should not have that much draw difference through the OEM fuse box. The power for the lights is coming directly from your battery. Only the on/off power for the headlight relays is coming through the OEM fuse box via the Hi/Lo switch and that should be very minimal unless a relay is shorting out or it is on the wrong post of the relay and supplying power to run the headlights.
Questions/Actions:
1. What kind of draw are you getting on the #2 fuse? (motor off lights on, motor on lights off, motor on lights on Hi/Lo)
1a. How are your green, blue w/ yellow, & red w/ orange wires on the oem fuse box? hot, high current, anything?
2. What kind of draw are you getting on the #9 fuse? (motor off lights on, motor on lights off, motor on lights on Hi/Lo)
Check the resistance & draw through your starter relay from the Blue w/ yellow to blue.
2a. Have you tried swapping the two relays on your EB headlight kit? swap with each other and see if you get the same results for Hi/Lo test.