Why don't you just biab in the 15 gallon pot?
I brew in a 10 gallon pot and have never gotten close to filling it with too much grain for a 5 gallon recipe. Without sparging, I usually get about 70% efficiency, and that is good enough for me.
I did brew a 10 gallon batch in my 10 gallon pot. 25lbs of grain and almost 8 gallons of water to mash in. Efficiency was right around 60% but I was expecting that. I did dunk sparge the grains in another pot with about 3 gallons of water in it. Boiled with it right at the brim and only got one small boil over. Had to add about 1 gallon top off to the fermentors in the end.