LOS ANGELES—As communities across the country feel the pain of a surge in coronavirus cases, funeral homes in the hot spot of Southern California say they must turn away grieving families as they run out of space for the bodies piling up. The head of the state funeral directors association says mortuaries are being inundated as the United States nears a grim tally of 350,000 COVID-19 deaths. More than 20 million people in the country have been infected, according to data compiled by Johns Hopkins University. “I’ve been in the funeral industry for 40 years and never in my life did I think that this could happen, that I’d have to tell a family, ‘No, we can’t take your family member,’” said Magda Maldonado, owner of Continental Funeral Home in Los Angeles. Continental is averaging about 30 body removals a day—six times its normal rate. Mortuary owners are calling one …