Simcha, I should be one to talk, but it's almost impossible to troubleshoot LBE issues without photos. Shots of the deflector, the burner position, the stone position and the air foil/director in the lid would help tremendously.
The heat in an LBE flows like a 7. The deflector should have a gap in the back for the heat to travel (or be tilted up towards the back) and the stone should be pushed towards the vent in the lid, again, with a gap in the back. The heat travels behind the deflector, behind and over the stone, get's bounced down onto the pizza with the air foil/director and then comes out the vent in the front.
The air foil has to be dialed in, the stone position/gap position has to be right and the deflector has to be on the money as well. All of these aspects are part of the top heat bottom heat ratio correction. If anything is off, you get way too much bottom heat.
Quarry tiles are really not ideal for an LBE setting as they don't have much resistance to thermal shock. They also, if used as a hearth, are very thin and need a lot more deflection from below.
You need a lot more mass than just quarry tiles for deflection. A stainless bowl with sand works pretty well.