I am hearing that you don't think there is a short in the FC any more. A short would probably be easier to fix.
For a given number of lipo cells, a linear BEC in an ESC should produce the same heat, regardless of the brand. On the other hand, a given amount of heat coming from a small ESC will be hotter than from a big ESC.
30 watts heating your house. 30 watts heating a soldering iron. 30 watts delivered by the fine point of a laser.
The heat generated increases if you add lipo cells or draw a heavier load (current).
Assuming all your ESC's have all the servo wires intact, then usually, due to manufacturing tolerance, one or two BEC's (ESC's) on a quad sometimes shoulder most of the load and thus generate most of the heat. I run 4s on 30A ESC's on my favorite quad (Revo, Rc Rx, GPS, Telemetry). That is about as high as you want to go with linear BEC's. The ESC's get good and warm, but not uncomfortable to hold. They are out in the open, close to airflow. I wouldn't want to put them inside arms.