"Everything is farmed and genetically modified?" Exactly what is farmed and genetically modified? The top sources for zinc according to examine.com and the NIH are eggs, meat, and beans. Plenty of free-range or organic sources are available. Then there's sources as oysters, crab, and lobster, all of which can be obtained wild-caught.
Examine.com also has this to say about dosage -
Super-loading zinc by taking up to 100mg zinc a day is confirmed to be safe in the short term (2-4 months), but because this dose is higher than the 40mg Tolerable Upper Limit (TUL) of zinc, prolonged super-loading is not advised.
NIH - Office of Supplementary Medicine has this on dosage -
Zinc toxicity can occur in both acute and chronic forms. Acute adverse effects of high zinc intake include nausea, vomiting, loss of appetite, abdominal cramps, diarrhea, and headaches [2]. One case report cited severe nausea and vomiting within 30 minutes of ingesting 4 g of zinc gluconate (570 mg elemental zinc) [81]. Intakes of 150–450 mg of zinc per day have been associated with such chronic effects as low copper status, altered iron function, reduced immune function, and reduced levels of high-density lipoproteins [82]. Reductions in a copper-containing enzyme, a marker of copper status, have been reported with even moderately high zinc intakes of approximately 60 mg/day for up to 10 weeks [2]. The doses of zinc used in the AREDS study (80 mg per day of zinc in the form of zinc oxide for 6.3 years, on average) have been associated with a significant increase in hospitalizations for genitourinary causes, raising the possibility that chronically high intakes of zinc adversely affect some aspects of urinary physiology [83]
I do agree *some* may need to supplement with zinc, and I do, but only at the lowest dosage of 15 mg with 1 mg of copper, and only because I determined I just short of getting the daily RDA of zinc.