lights

Light bulb is incorrect wattage? Too big of a bulb will throw off more heat.

nope tried that

I get the feeling I am missing something here, like I am not getting the whole story. I have alerted our resident Chevy guy and he will be with you straightaway.

dim light plug keeps melting

What dim light plug is this pertain to-? Headlamp plug or ??????????? if its the correct bulb wattage and wiring is melting away-sounds like a direct short to ground or its crossed here, is involved with that circuit