First establish the cause of the (near) clipping. Is the Raw data clipped (look at the Raw data histogram)? If not, then the White balancing may be the cause of e.g. Red channel boost.
That can be addressed by reducing the Raw white points value (Raw tab), which does a linear gamma reduction of the white point before White balance can boost it again, thus avoiding huge clipping. It is only the beginning of course, because you now need to review your color and exposure tabs adjustments again.
And if having to adjust the white balance on the cool side in order to pull back on the red channel to the point it makes the image a bit blue with less saturation, you can crank up saturation to bring out the warm tones which usually will invoke an adaptive effect to perceiving a more neutral or warmer overall white balance.
I had to do that on the orange flower image. At that stage it was tough to find an element in the image I thought should look neutral based on R=G=B. The WB eyedropper tool became useless.