what we did was ly dust sheets in the hall ways to the front room door doesn't matter how hot they got then , pre spay and then clean with a tm , then we roll up dust sheets quick pre spay then clean the hall carpet last this avoids must ironing flat carpets as there damp from the pre-spay and it shouldn't take you that long to clean a hall way
other then that just roll a extra vac pipe off feed into it the solution hose and away you go instant sleeving that costs northing and can be used if and when needed