It can be done though, kind of.
Fire Forged Steel can be made into arrow heads. 15gp per arrow, but they count as masterwork. If exsposed to heat, they deal 1d4 fire damage on a hit. If the attacker is also wearing Fire Forged Steel armor, this increases to 1d6. A Fire Forged Steel chain shirt costs 1100gp, and is also masterwork.
Hmmm. . 600gp melee weapon would arguably do 2d6 fire in this case.