To me a classic beam-scale with a knife bearing seems to be much less dependant on such minimum load.
I use a reloading scale that I bought almost forty years ago to (help) turn empty, fired ammunition cases back into new ammunition. It measures to 0.1 grain (15.4 grains to the gram, so minimum scale setting about 7.1 mg), and I can interpolate smaller increments than that. The blade bearing rests in synthetic agate cradles -- it's as close to frictionless as anything mechanical can get. To prevent endless oscillation, there's a non-contact magnetic damper; the beam will stop after only two or three cycles after adding a small amount of sample. When I used it for reloading, I could measure a
single grain weight accurately to the precision of the scale. I could see the pointer move when I'd trickle a single powder granule into the pan.
Yes, there's a minimum weight for this kind of scale, but it's in the milligram range. Better yet, reloading scales are preset; you can trickle the sample into the pan until the pointer needle centers and get far better than 7 mg accuracy -- I'm pretty sure I could get within 0.7 mg, maybe closer to correct weight, with mine (and did I mention it's forty years old and has been stored suboptimally for years at a time?).
These things cost more than an electronic "drug dealer scale" -- but only by about a factor of two. They're still sold for around $40, the design unchanged since the 1940s, perhaps longer.