Your applications seems to be in an oven. Moly based products or Silicone may suit the application. Dow Corning, Dupont would be having such products in thier range.
Generally all the oils may be sythetic or mineral starts evaporate above 250*C or more & solid contains in that product that will lubricate,I will suggest MOLYKOTE C-40,which is high temp.chain oil which is having service temp. upto +450*C.
Mobil makes a product called Socony oven conveyor chain oil, it is a light oil that carries colloidal graphite into the moving parts of a chain between the pin, link and roller. It is designed to evaporate off and leave the graphite in place without leaving other residue that might cause sticking. This might work for you. we use it in drying ovens that opperate at 700-750 F and have good luck with it.
Great question. The ExxonMobil product listed is a great product and will most likely meet your needs. The nice advantage to this product is that it may be compatible with your current lubricant (verify with testing) and will not require you to use a silicone based product which is not very compatible with many products.