Thank you Pattye and Charlotta for the advice!
I finished the necklace! Thank you so much for the help here, I improved my method SO much and this is the nicest finished project I have ever gotten. Also the Beader's Secret is about 5 million times better to use than silk. I love it, I don't think I'll ever use silk again lol. I do need to refine my method for tying the knots, I sorts of end up flipping the needle strand with a bunch of beads on it around itself and over my fingers, then I sort of put the knot around my finger and slide it close to the bead then remove my finger and tighten. I feel like I could refine this a bit. But I think (hope) the result is the same. I posted a bunch of photos in my "Dyed Black Freshwater?" thread so as not to crowd this one, if anyone would like to take a look and give me any suggestions for the future. As I say on that post, I know some of my knots are too loose, they are from the beginning when I was timid! I might restring at some point.