Tim Buck knows by heart how many people died from drug overdoses in his North Carolina county last year: 10. The year before it was 12 — an all-time high. Those losses reverberate deeply in rural Pamlico County, a tightknit community of 12,000 on the state’s eastern shore. Over the past decade, it’s had the highest rate of opioid overdose deaths in North Carolina. Now, the county is receiving money from national settlements with opioid manufacturers and distributors to address the crisis. But by the time those billions of dollars are divided among states and localities, using formulas partially based on population, what trickles down to hard-hit places like Pamlico County can be a trifling sum.