Smell something burning? Maybe it's your headlight plug (1994-2002 DODGE)

Here's the longer version of the melted headlight plug from my 1998.5 Dodge dually, and what I used to replace it with (from another 2nd gen. Same but different).
I was smelling burnt electronics driving home in the rain... I thought it was something way worse until I remembered this is a big issue with our trucks. I think this affects Dakotas as well. I am running stock headlights and cab markers with no fogs by the way. I wasn't pulling a trailer either.
Adding relays to drop wattage through the plunger-style switch helps but I don't think it completely solves the overheating issue. Swapping out to LEDs could help (not ready to do that just yet either).
*LMC sells a $25 relay harness for 1994-2002 that I'm going to have to install... Probably at the same price as a DIY version, but (from what I've read) it's too short, doesn't include the relays or fuse holders. Daniel Stern Lighting (dot com) has one for $229.