First off, yes I shoot in RAW. I use Photoshop CC6 and the NIK software. I believe your Lightroom CC6 will read the D800 camera raw, is this correct? I won't go into great detail on how I process my photos as a lot depends on the calibration of your monitor (which should not be an issue since you have the Spyder 5 calibration system). The next big issue is the calibration of your own eyeballs, which you will just have to work with through trial and error. I do not know how different Lightroom and Photoshop CC6 are at processing, as I have never used Lightroom, but hopefully they are similar.
I first process the photo in Adobe Camera Raw and adjust the white balance here. I usually shoot with auto white balance and toggle between the as shot and preset white balance to determine which I prefer and tweak it if necessary with the various sliders to get the effect I want. Then I apply the lens correction feature of Camera Raw if available for the lens I used.
Then I open the image in Photoshop, from Camera Raw. I then apply level adjustment to make sure the histogram fills the frame left to right. Then I will toggle the Auto Tone, Contrast, and color and either accept or reject them as desired. I may also apply other adjustment toggles as needed.
At this point, I may crop or straighten the image as needed.
Then I will go into the NIK filters and apply Color Efix Pro filters as desired, commonly using Polarization, and graduated filters to achieve my desired effect. Then I will use the NIK sharpening filter or the Photoshop Smart Sharpen filter to achieve the desired sharpening effect. Be careful not to over-sharpen.
Finally, I will resize as needed and save the image either into PSD or Jpeg (or both) as desired. Take care when saving your work not to overwrite your original RAW files. Keep these safely stored so you can go back to them in the future. You will be surprised what you can do with today’s RAW images a few years down the road when you revisit them with more knowledge.
This should get you started, but you do have some learning curve to get this all down to a reasonable time frame and achieve your desired results. Also some images also need some other more advanced Photoshop effects such as healing brushes, red eye removal, cloning, moves, etc. There are many excellent books, on-line tutorials, and classes you can use to improve your skills. Don’t be afraid to experiment. Just make sure you keep your pristine RAW images.