When ever the subject of more accurate scales comes up, I have to make a comment on my choice of balance.
First, I do believe the FX-1201 is currently the best bang for the buck in new balances. My friend in Australia just bought one and loves it.
I wanted to eliminate weighing error from the equation in long range bench rest. I bought a GemPro and was happy for a while. It was accurate, as compared to the three beam balances, an ancient RCBS. a somewhat old Ohaus and a newer Lee. Oddly, the Lee was the most consistent! But, in checking with a small weight weight set I found all three would weigh the same weight differently on different days or within one loading session! And, I wanted 1 granule of accuracy and that is about 0.02gr of Varget.
The GemPro had that accuracy, but the response to trickling and the drift with time were not acceptable.
My budget solution, did I say I was cheap?, was a used Ohaus TS-200. This balance is 20 or so years old and they appear on ebay often as well as their TS-120 brother. The TS-200 is a 200gram balance with 0.001 gram accuracy and stability. It also can be adjusted to indicate in grains. I bought mine for around $110 and have been very pleased with it. I also bought a set of weights in M1 accuracy to calibrate it. My feeling on calibrate is different from pure lab standard. My Ohaus will calibrate full scale as well as linearity. For these two measurements, you need a 100g and a 200 g weight. I don't care too much on absolute accuracy, but for best linearity calibration the small weight must be exactly 1/2 the weight of the large one. I have a few 100g masses and I found one that was closest to 1/2 the 200g mass. My opinion of accuracy is that I want consistency so my loads in 2 months will be exactly the same as today. If they are off .02 gr I am not too concerned.
I did find out that when indicating grains. the least significant digit is 0.01gr and it increments/decrements in 0.02 gr so my best accuracy is 0.02gr. If I operate it on the gram scale, it indicates in 0.001g increments which is about 0.015 gr. So, if I convert grain weights to grams, I can weigh to +/- 0.015gr. which is less than a granule of Varget. Good enough for me!
Granted the TS series are old, but if shipped carefully, they are rigged and stable and sell for $50 to $200. the ones to get are TS-120, TS-200 or TS-400D. All these have 0.001gram accuracy, just make sure the TS-400 is the D model, this one has dual ranges. The TS-400S is only 400 gr and does not have the accuracy you want. You may find 4 different versions of these balances and the older ones will not have grain scales, just grams. Not a problem, but some folks stress out with metric measurements.
Another Ohaus TS-120 came on the market recently and I couldn't resist it. $75 and it was mine! This was a V1 model and only indicates grams. Hey! O.K. with me, good for +/- 0.015 gr!