Hello OP!
TF Nashiji's can be great. As others have mentioned, they can have fit and finish issues. I don't roll the dice on them new online and would only consider buying one if I could see it, or trusted the seller to select a nice one for me.
When the people here mention that you may not want a Santoku, realize they are talking from personal experience and, often, as home cooks, not just as pros. Most of us have had Santoku's or continue to have them. But as our options at home grew, we reached for it less and less, usually because it didn't do what we wanted as well as other options, including a shorter Gyuto.
Your $200 budget is perfectly reasonable. A really nice entry point to higher end knives. And if you want suggestions for that budget, please skip to the next paragraph. Because the remainder of THIS paragraph is going to point out to you that an inordinately sexy
Wakui nashiji 210mm Gyuto is currently on BST. And, in the grand scheme of things, it isn't THAT much more than your budget and has the benefit of already being something that is a potential "forever" knife with likely no more work done. I've never had a stock TF nashiji i could say that about. Just a thought, and now to give you recommendations that ACTUALLY fit your criteria.
Hitohira Futana S3 Nashiji Santoku: Ginsanko is a lovely steel, the profile of this is a great light middleweight feel (less steel behind the edge will give more perceived sharpness), clad in stainless still with Nashiji look. Handled one a while ago and liked it enough to look into getting a nakiri.
Akifusa Wa-Santoku 165mm: Shorter than you want. Powdered steel (SRS-15) clad with Stainless. HT in the 64 range. That is either a good or a bad thing depending on your cutting technique (ie avoid lateral stresses and don't be an idiot or you're gonna chip it like crazy). Felt pretty damn laserish, but I only took it for an in-store test drive with some onion and potato, so hard to say.
Zakuri 170mm Santoku: Not Nashiji, but a KU finish. A0gami Super core (you will see this referred to as AS or Blue Super). Heftier knife but still a great cutter. The only Carbon core knife on the list, but realize it's carbon core.
If you're willing to budge off the Santoku profile, though, we can definitely come up with some more (and I'd argue better) recommendations.
Cheers!
Ben