As one of the other guys mentioned be aware that a tailwind on base will exasperate the situation that you describe.
As I'm sure you know you can't slow down, descend and keep the engine warm simultaneously to any real extent without the use of flaps. You'll want to get the barn doors into the airflow relatively soon on the base leg.
Consider reducing the power and consequently your speed in the downwind to base turn. When you roll wings level on base a further power reduction will put you into the white arc very quickly, thus allowing you to benefit from the flaps for the duration of the base leg.
Best of luck.