I'm often making ground beef lately, but I don't have fatty cuts of grass-fed ground beef at the moment. My meals are a bit ... boring. I need sauce! Being on VLC, I need sauces low in sugar, but I don't even know if that's technically possible...
You'll get a bonus if you don't use nightshades ;).
Cook your ground beef with olive tapendade. Umm.. a red wine reduction is nice. You can thicken and season any stock. Green Garden is good, put that on top of a burger. Beurre blanc makes everything better. Mushroom sauce with red wine and beef broth is tasty, especially with beef. If you're using dairy you can definitely make the safe sauce but add cream - the recipe is pretty flexible. Oh! Peppercorn sauce! That's tasty..
Hmm.. that's about all I can think of without turning to nightshades. Good luck!
One of my favorite sauces for meat is a Carolina-style barbecue sauce. The "recipe" I use is:
Take equal parts apple cider vinegar and water.
Add lots of red pepper flakes (yes, it's a nightshade, guess I don't get those bonus points).
Add salt to taste.
Let sit in the fridge at least overnight. Put on meat. Enjoy.
Coconut milk is a good base for a pan sauce. Add it to the pan and mix it with the residual fat from the the meat. Scrape the bits of goodness off the bottom of the pan. Allow the mixture to reduce and thicken. Add any seasonings you wish.
I am sauce challenged too. I really like some of Nikoley's sauces on Free the Animal. He eats dairy but not all of them have dairy. Here's a good link to them...he does some reductionist sauces and also salad dressing etc. here and there. Chicken and Tarragon Sauces and Steak Blue Cheese Sauce.
I use mustard on things, I bet a good horseradish type thing would be good on the the beef if you made it into a meatloaf. I also use canned diced tomatoes (with no added salt) to browned ground beef to add something to it without a lot of work.