If I may ...
Its not a miniscule possibility, you couldn't get a hold of a circulated gold coin back in the day that wasn't shaved.
It would be nice if our money was worth something if the government collapsed, but there are simply too many people and we have such a trade deficit there wouldn't be enough to go around.
Gold and silver were really as arbitrary choice as anything to use for money. It was rare, it was pretty and most importantly it was worked easily and could be melted with the technology of the time.
Exactly how far are you going back are you going with the shaving of coins? There is plenty of gold and silver to make coinage to go around in a sound money economy, because it does not take much to use as a medium of exchange for goods and/or services.
Gold and silver coinage are not arbitrary as there is a finite, exhaustible, amount/supply. In earth's natural crust ratio, there is about 19 ounces of silver per 1 ounce of gold.
In the Coinage Act of 1792, Congress announced that all US dollar, half dollar, quarter, and dime coins must have their face value in gold or silver, respectively. And when the national mint started producing these coins, they began using a process called reeding, (for over 200 years now), to add ridges to the edges of coins which not only effectively stopped coin shaving, but also made it extremely hard to counterfeit the coins.
Do not forget, the annual wage of a worker back then, paid in gold or silver coin. Below is from 1860's. And these people could live comfortably.
- Masons earned 22.5 cents an hour ($13.50 a week, or $700 per year)
- Blacksmiths made 18 cents an hour ($10.80 a week, or $560 per year)
- Machinists earned 16 cents an hour ($9.60 a week, or $500 per year)
- Laborers made about 10 cents an hour ($6 a week, or $300 per year)
- Privates in the Union army earned $11 a week, or $572 per year.
- Firemen earned 15 cents an hour ($9.00 a week, or $468 per year)
- Carpenters earned 14 cents an hour ($8.40 a week, or $436 per year)
- Farmhands: 8 cents an hour ($4.80 a week, or $250 per year).
Groceries
- Rice: 6 cents a pound
- Beans: 6 cents for a dry quart
- Sugar: 8 cents a pound
- Beef: 9 cents a pound
- Cheese: 10 cents a pound
- Bacon: 12 cents a pound
- Butter: 16 cents a pound
- Eggs: 20 cents a dozen
- Potatoes: 40 cents a bushel
- Coffee: $1.20 a pound (for coffee beans, which you then had to roast and grind yourself)
As far as our "deficit", I suggest you look up and the research the term "odious debt". And as far as the trade deficit, we really wouldn't have in a sound monetary system because we would be making things for ourselves here, with the government applying tariffs, (as was the normal practice of the day), to imported goods to balance out the prices of like for like products, thereby encouraging people to purchase American made goods.