Bake it!
Joke apart, baking it in the the "tolerated temps" will not hurt and might "re solder" some components.
10 minutes at 280f/195c.
PCB only, remove heatsonk, plastic bits...
Worked for me a few times.
I actually revived my first 8800 Ultra this way! It lasted about 8 months before I stopped using it and upgraded to a GTX 280.
In regards to the 1080 Ti KP...
I did diagnostics on the card and found VMEM 1.8v was shorted. After trying voltage injection it failed and I couldn't get any components to heat up to indicate the short. Before unsoldering anything, I reached out to the great members of the northwestrepair discord and they affirmed that it sounded like the VCORE or VMEM power stages were shorted based on the auto shutdown when the card was installed in a motherboard. PEX and the 5V driver for the VCORE and VMEM were fine.
After unsoldering one side of the VMEM power stage inductors, the short went away on the inputs but the outputs were still shorted. I moved to the 1.8v power stage inductor and did the same (lifting one side), and I still have the short on the output, with the input being okay.
The discord confirmed my suspicions of the memory controller being damaged, as this usually happens when the card shorts it's PCI-E 12V inputs. Apparently it's pretty common to happen on 10 series cards in general.
While it could be a shorted memory module, it is extremely unlikely that the chances of the memory controller surviving with shorted memory chips and a 1.8V VMEM power stage short to ground.
I guess I have a nice display card for now, and a parts card for a future 1080 Ti KP acquisition.....