Why don't you do what is the most simple way to extend the heat transfer more than 10 times? Just place the boards into a tank with a 50/50 mixture of demineralised water and anti freeze used for cars, solar heating etc? This mix doesn't conduct electricity and is non corrosive, even after many years. Cheap, reliabel and no moving parts needed. With the boards on the bottom the hot cooling media will rise and the cooler liquid will move downward. Just add some temperature warning or cut off thermostat.
You can think of a dozen ways to improve this, like water pumps, radiators etc. but just a few liter liquid go a long way until boiling. All you need is a small tank, best fixed at a wall. The primitive version is coating the electronic parts with clear varnish and dumping it into a bucket of tap water. Used by many amp builders.