Ok i am a total newb to this but i had a thought i will just toss out...
I dont know the price of it or if it would work but the metal sheeting that
people put around woodstoves when they are closeish to walls etc or on the floor under it.
Could you have five squares of that, one for each side and bottom... or just for the most burn prone sides?
I was thinkin if that would work it might cut some of the other costs for more the brick etc.
Good luck!