I'm afraid my reply to this one isn't going to be very helpful, but here goes.
ModelExpo sells several different kinds of thread, most of which (I think) it buys from European kit manufacturers - and heaven only knows where they get it. I've bought quite a few spools of the stuff they label "cotton/poly mix." I rather like the look of it; it has a "lay" that looks pretty much like real rope. It isn't fuzzy, and it comes in several decent, rope-like colors. The catalog identifies the manufacturer as "Model Shipways," but the plastic spools have the word "Mamoli" stamped on them. (If Mamoli is indeed the originator, this is the only Mamoli product I've ever seen that I'd allow in my house. Mamoli is one of the worst of the notorious HECEPOB manufacturers.)
I've also bought a couple of spools of the very fine, supposedly "waxed" thread that ModelExpo advertises as being for seizings and stuff like that. It seems to be pretty good stuff - and quite fine in gauge. The black stuff might be appropriate for some of the standing rigging on a small-scale model. The beige color is probably too light - and if it is indeed waxed, it must be difficult if not impossible to dye.
Model Expo advertises quite a few other types of line, but I haven't had experience with it.
I've never bought the stuff Micromark offers. I have done quite a bit of business with that company over the past twenty years or so, and have found its service to be excellent. But (according to the catalog) the thread in question is cotton, and cotton is generally regarded as a poor rigging material because it reacts extravagantly to changes in humidity. Furthermore, if I remember correctly it's only offered in two diameters - and even the smaller of the two would be mighty big for a 1/196-scale model.
Experienced sailing ship modelers tend to gravitate toward two rigging materials: silk and linen. Some eminently qualified people swear by linen as the most durable material on the planet; I have my doubts about that, but there's no denying that, if you avoid the cheaper, "slubbier" variety, it's nice stuff. Bluejacket (www.bluejacketinc.com) sells it in a fair variety of sizes. It's not cheap, and it only comes in two colors: black and white. If you buy the white stuff for the running rigging, you'll need to dye it - and if you do go that route, please, please don't use tea or coffee! (For some extensive rants on that subject, do a search on the word "tea" in this Forum.) And once again, all the available diameters are pretty big.
Bluejacket also sells some very fine nylon thread. It's nice and smooth (virtually no fuzz), and comes in a wide range of sizes. It has a couple of drawbacks: it's slick, and thus a little tricky to tie in a knot, and it only comes in black and white. I understand it can be dyed, but I haven't tried it. Harold Hahn, one of the most famous modelers in the U.S., does all his rigging with nylon; it's tough to argue with the results he gets.
I personally am a fan of silk rigging line. The last time I did a major rigging project, silk thread was a lot easier to find than it is nowadays; good sewing supply stores carried it in a couple of diameters and a wide variety of colors, and I made up most of my line on a primitive but effective "miniature ropewalk" (made from components of a Lego set). I've still got a fair supply of the stuff that I bought twenty-five years ago, so I haven't been in the market for it recently; I suspect there may be some good sources for silk thread on the web somewhere, but I don't know what they are.
Your most obvious alternative is the polyester/cotton thread that's sold in sewing stores. Lots of experienced modelers turn up their noses at it, but I'm not sure why. There's no shortage of colors, and by shopping around you can find a fair variety of diameters.
Two Golden Rules of ship model rigging: 1. If in doubt as to size, err on the small side. 2. If in doubt as to color, err on the dark side.
I don't know if the above will be of any help, but it's about the best I can do. Good luck.