Ah, unless I'm wrong, our national stockpile of copper is the 30 B pre-1982 pennies in circulation, excluding the steel pennies during WWII. So, $300 m street value. If those weigh 88,500 metric tons in aggregate, then we're talking a scrap value of $850 m.
Pennies from 1982 onward are mostly zinc, and I suspect not worth reclaiming. But we have to talk about how to separate these. Let's claim that, in a great coordinated effort of patriotism, the American people squint and sort their pennies. Maybe taking them to the nearest post office for a spot credit of 2 cents. Some inventive people with access to buckets of 'em might automate a sensitive scale and flicker, or contract for inexpensive or captive labor. A roll of 100 pennies weighs 311g if copper-based, 250g if zinc-based. To nudge hoarders to participate, Trump promotes a limited-time stamp with his image in the style of Ea-nāṣir.
88,500 metric tons is about a month of USA copper imports. So, the hardworking miners of Arizona get a month to retool.