I live in Arizona and think we are at least as hot as Cyprus. However, if the barrels are getting hot enough to melt solder I wonder that you don't set the wood of the forearm on fire too. Here is the fix for your problem - take a canteen of water along and periodically remove the forend and pour some water over the barrels. The evaporation will cool it quickly and it does no harm to the gun. I have been doing this for 50 years and haven't hurt my shotguns at all. Learned this from a live bird shooter of the 1950s shooting in Europe.
