A plane searching the slopes of Mount Rainier National Park for an Iraq War veteran suspected in the slaying of a park ranger found a body believed to be his lying face down in chest-deep snow Monday, authorities said.

It could be several hours before authorities reach the body. While they haven’t identified the body, they believe it is that of 24-year-old Benjamin Colton Barnes.

“Obviously the strong probability is that it is” the gunman, Pierce County Sheriff’s spokesman Ed Troyer said.

Barnes is believed to have fled to the remote park to hide after an earlier shooting at a New Year’s house party near Seattle that wounded four, two critically. Authorities suspect he shot ranger Margaret Anderson later Sunday.

Anderson was a Toronto native who grew up on the East Coast. She earned her bachelor’s degree in fisheries and wildlife biology from Kansas State University in 1999 and, five years later, earned a master’s degree in biology from Fort Hays State University.

Police cleared out the park of visitors and mounted a manhunt for Barnes, who was believed to have weapons and survivalist training. The body was found face down, Washington State Patrol spokesman Guy Gill said.

Barnes has had a troubled transition to civilian life, with accusations he suffers post-traumatic stress disorder and is suicidal.

He was involved in a custody dispute in July, during which his toddler daughter’s mother sought a temporary restraining order against him, according to court documents. The woman told authorities he was suicidal and possibly suffered from post-traumatic stress disorder after deploying to Iraq in 2007-2008, and had once sent her a text message saying “I want to die.”