I read through this whole thread, and not to sound flippant, but it seems the optimal solution to me is to buy a bigger stereo.
If I'm in my shop, there is noise, from the gable vent, the 20" shop fan, and the lathe/drill/grinder/compressor/welder/whatever is on at the moment, etc. I just crank up the stereo and carry on. I have enough quiet all week punctuated by only the clicking of the keyboard.
That said, when welding, I leave the power on until I need to change or adjust something (for personal safety and to not blow a circuit) or until I'm done. Seems to me, the fan can't run too long and the more it runs, the quicker you can hit the next cycle and the longer the next cycle will be (up to the max) as it will have been cooling during the break.
Trip Bauer
Former USN HT
Everlast 200DX New Model
Hobart Handler 125 MIG
Van Norman #12
Atlas 12" engine lathe
'98 RoadKing - 84 Ironhead - 59 Ironhead