Doing nothing except giving the rifle time to cool is a very good way to solve this problem. If you stand the rifle up and open the bolt, natural convection will do the job. It just takes time.
Using a chamber chiller will expedite the time without shocking the barrel with some type of coolant other than air. I have seen shooters use water or other liquids to cool their barrels and don't recommend this practice because it is not uniform and I don't want to add stresses if it is possible to cool it a safe and uniform way.
In my opinion air is the slowest and least risky way to cool, and the safest way not to harm the barrel or finish. Using any air cooler with a rechargeable power supply is what I would recommend.
Just my opinion to cool the barrel down. I mostly use it on a 338LM, that beast does generate HEAT.
J E CUSTOM