I don't know if you'd consider it inexpensive ($34) but I like this one because it'll weigh to .001g and will go to 50g, heavy enough for even very large coins. https://www.amazon.com/gp/product/B011J88S8M/ref=oh_aui_detailpage_o03_s00?ie=UTF8&psc=1
I use and really like the Frankford Arsenal DS-750 Digital Reloading Scale which is $23.70 (plus shipping) on Amazon. It weighs to 0.01 grams up to 50 grams. It is about the size of a deck of cards.
Be sure to get a set of calibration weights and check the scale periodically. Class M2 (same as Class 6) should be good enough for most numismatic work. A set that contains 50, 20, 10, 5 and 1 grams shouldn't cost more than $15. Treat the weights like they were high-grade coins; except you can skip slabbing. Cal
With calibration, most electronic scales only call for one weight. I wanted to check the one I bought at Fry's and saw it called for a 200.00 g weight. This weight would have cost as much as the balance. At my college, the analytical balances weigh to 0.0001 g, so I just put a glass bottle on the balance and added salt till it was 200.0000 g voila my calibration weight.
It's best to check a scale in the weight ranges that will actually be used for coins. A class M2 weight set (10 mg through 50 g) can be bought from Amazon for less than $12. Comes with a case and plastic forceps. Given how cheap this is, I wouldn't use artifacts, especially not ones than might be subject to wear and other alterations. link: https://www.amazon.com/American-Wei...504802975&sr=8-2&keywords=class+m2+weight+set Cal
If you'd prefer not to order online, check out Harbor Freight if you've one near by. I cannot personally speak one way or the other for those they carry, but do know they've inexpensive scales that, at least in years past, have been used for this purpose. Good luck either way.
#1 My area suffers from low humidity...#2 It is a closed bottle...#3 NaCl doesn't pick up much, if any water.
What most scales ship with, and what is optimal for calibration are two different matters. Generally, the weight shipped with a scale (if any) is a max capacity weight. It is not optimal for checking in lower weight ranges. Cal