I don't think how you stress "quite large" makes any difference at all.
The stress on "white house" emphasizes whether it is the whiteness or the house that is important.
"I'm looking for a WHITE house" means I'm not looking for a house of any other color.
"I'm looking for a white HOUSE" means I'm not looking for a white barn or church or apartment building.
The White House is the residence and offices of the president. You might call it a mansion. It's not a "palace." Palaces are for kings.