Bertoni makes a good point about nitrite which can skew nitrate readings. I forgot about that... In terms of skimmate production, there is not really a known quantity. Instead we focus on quality in terms of color, smell and overall nastiness. Dry skimmate is very dense, green/black in color and very smelly. Wet skimmate is watered down, typically golden/brown in color and less smelly.
The quantity depends on how much organics is in the water and how productive your skimmer is. Many things go into this including reaction times, air flow etc. In general lightly stocked systems get about a 1/4 cup per day depending on feeding etc. I would search for your skimmer make/model here on RC and figure out if anyone has tips for tuning that bad boy. See ->
this link on YouTube
I use a ReefOctopus 3000-INT skimmer and figured out everything from the threads on RC. The product manuals are great for initial setup but then RC is great for tuning and getting quick experience with the skimmer.
I would hold off adding anything else to your system right now. If you have lots of organics decaying in the sand bed, then adding live sand is just going to bury these and possibly cause hydrogen sulfide issues down the road. Be very careful about your sand bed and do proper maintenance on it. If either becomes a huge biological filter or massive decaying nutrient sink if not setup correct. (This is my opinion based on a lot of reading).
To help keep the sandbed clean, you must introduce some critters that live in and consume food from the bed. There is a YouTube video by NYSTEELO that describes setup and also maintenance. I have introduced, mini stars, bristle worms, spaghetti worms and various snails that live in my sand bed and thus keep it stirred up and moving. Additionally, I have a Christmas wrasse that also beds down in the sand at night.
Again, there are many forums on sand beds here on RC. I would encourage you to read them and head the advice. In short, you are on the right track - listen to folks like Bertoni, Randy, Sushi Girl and you will be fine.