This setup has been working great so far.
Last brew day I had to do 2 brews, so I decided to mash in a cooler while I was heating strike water in the kettle for the 2nd brew. I'll tell you, that is the way to go if you don't mind moving a little water around. You can skip a PID completely because the cooler is so efficient at maintaining temps.
After the strike water was heated to 190 for the 2nd brew (heated extra high to allow for cooling off until I got the first batch out of the cooler and back into the kettle) I drained grains
both into the kettle with bag inside and mashed out like normal.
I think I am going to use this method for future brews. Even though it isn't technically BIAB anymore, I have the ability to mash in a cooler and not have to worry about a stuck sparge.