The AVR has sufficient power to drive your speakers in a residential scenario. At what Volume setting are you driving the speakers?
Suggest the following
1) How hot does the AVR feel when you touch it? (Should be lukewarm). Since It has ventilation from top it is essential to have a clearance at the top. Try out the AVR after removing from the rack. I know its a lot of work but you need to eliminate this possibility
2) Vacuum clean the AVR - you need not open it up but just try to clean through the vents. This will hopefully dislodge any loose debris causing a short inside
3) The speaker wire ends might be OK but also check along the entire length of the wire for frayed wire. ( Happened to me when I was dragging the stand)