i dont know about other mummies, but for dear son, i still will bath him. with a warmer tub of water. and i will 'choose' the time. not right after he wakes up but will wait until the weather is slightly 'hotter' and will close the window, door everything to prevent the wind to blow in. quickly bath him, dry him, change him.
and instead of 2x i will bath him once a day only when he is ill, until he got better =)