@User: "A 36” deep fridge is almost impossible to integrate into a kitchen. That is a foot of fridge sticking out past your cabinets. Things go to die in the back..."
The LG refrigerators suggested above are 33-1/2" deep, not 36". The OP is rebuilding her kitchen; she can build deeper cabinets along the wall with the refrigerator. Maybe the OP has good "refrigerator management".
Q