No year-by-year rainfall record from the Yellow River plain reaches 1561-1550 BC; the published Qilian juniper record starts in 1500 BC (its raw cores go further: see the ring test)
Yang et al. 2014 (NOAA file ne-tibet2014precip.txt and the CRU chronology file) begin at 1500 BC, where the authors judge enough trees overlap. A search found no layer-counted stalagmite or varved lake from Henan or Shanxi covering 1600-1500 BC (the annual ones found cover the last 2,000 years or less). The Erlitou radiocarbon dates (end about 1530-1500 BC) fall on the calibration plateau that also blurs Thera, so they cannot pick out a decade.