ELIZABETHTOWN — The Horace Nye Nursing Home is projected to cost Essex County $1.8 million more this year than it will generate in revenue. The only bidder to manage the home says that deficit would make it difficult to find a buyer. When asked why his company only put in a bid to manage the home in Elizabethtown and not to buy it, Adam Garff, vice president of development for Traditions Management, said Horace Nye is a “challenging building” and it would be hard to find anyone to buy the nursing home “with the extent of the losses you’re seeing now.” The Clearwater, Fla.-based company was the only one to answer a recent request for proposals (RFP) the county put out to see if anyone was interested in buying or running the nursing home. Traditions offered to manage it in return for 5 percent of its gross revenue — about $25,000 a month, according to Moriah Supervisor Tom Scozzafava.