Check out Les McLean's article on flashing if you haven't already:
http://www.lesmcleanphotography.com/articles.php?page=full&article=27
My comments/advice:
Your enlarger light source is "white light" as far as your paper is concerned. Don't worry so much about color temperature. With VC paper, you have the choice of flashing at whatever contrast setting you prefer. Low-contrast flashing will give you tonality without a lot of contrast; high-contrast flashing does the opposite.
Split-grade printing techniques may work better for your purpose here. Burning the sky with a 00 filter is really not much more than selective flashing at low contrast. I find this tool works well for me in cases similar to yours to get a basic tonality. Then burning selective areas with high-contrast to get some snippets of detail darkened down while avoiding areas you don't want to darken works well many times.
But, try burning with normal contrast first. Any flashing or burning with low-contrast settings is a contrast killer. If you can get the tonality you want without these, the contrast will be better. Often dodging the objects that are not bright in the area you later plan to burn helps even things out.
Bright skies with lots of intruding objects are difficult, however, so flashing or low-contrast burning may be the best choice.
Best,
Doremus