Looking at your post again. If I understand this correctly you updated your 2010 SR5 with the headlight assembly from a 2014 model. If several different bulbs are overheating in your setup and burning or charring the socket, maybe you have a bad socket. Perhaps the bulb doesn’t fit in the socket correctly, and socket electrical contacts don’t grip the bulb contacts properly and it acts like a high resistance and overheats.
In fact, looking on the Olathe Toyota site, the front turn signal socket part number you listed (90075-60028) does not seem to be correct for the 2014 4R model or even the 2010 model. (That part number is meant for a Scion, Prius, or Tacoma). The site lists the part number for the 2014 4R to be 90075-60083. Not sure what the physical difference would be, maybe the gasket or how it threads and seats itself into the housing, providing some way to dissipate heat. Or maybe the contacts are positioned differently. Something to check into. Let us know how you resolve this, good luck.
Socket - Toyota (90075-60028) | Toyota Parts
Socket - Toyota (90075-60083) | Toyota Parts