> Renewables' capacity factor is much greater than 10%, in practice. If you need falsehoods to make your case, you have no case.
Residential/commercial PV -- e.g. rooftop solar-- very often is 10% or less.
If you want to only look at utility-scale fixed tilt, instead, recent deployments average near (not quite) 20%.
https://emp.lbl.gov/pv-capacity-factors
Nuclear's capacity factor is 93%. In which case, 183GW from utility-scale, fixed-tilt PV is like 183/.93 * .20 = 39GW. Which, admittedly, is outside of my range of 20-30, but also relies on generous assumptions (utility scale projects only-- which are only ~25% of US solar wattage).
If you consider only tracking, you can get all the way to 49GW, which still doesn't eliminate the point.
Perhaps the bigger point is looking at the eastern seaboard. Shipping power 2000 miles is not super practical for various reasons, and the capacity factors for a whole region of the US are pretty poor.