Body found at Wash. park is that of gunman (AP) - An armed Iraq War veteran suspected of killing a Mount Rainier National Park ranger managed to evade snowshoe-wearing SWAT teams and dogs on his trail for nearly a day. He couldn't, however, escape chest-deep snow. A plane searching the remote wilderness for Benjamin Colton Barnes, 24, on Monday discovered his body lying face down on the mountain hours from where authorities could get to him. Barnes is believed to have fled to the remote park on Sunday 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. SWAT teams more used to urban standoffs trekked deep into the backcountry, unfamiliar territory for them. "We have SWAT team members with snowshoes on the side of a mountain," Pierce County Sheriff's spokesman Ed Troyer said. This has never happened before. Immediately after Sunday's shooting, police cleared out the park of visitors and mounted a manhunt. Fear that tourists could be caught in the crossfire in a shootout with Barnes, who had survivalist training, prompted officials to hold more than a 100 people at the visitors' center before evacuating them in the middle of the night. Barnes, who was believed to be carrying a cache of weapons, 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. Undated photos provided by police showed a shirtless, tattooed Barnes brandishing two large weapons. Late Sunday police said Barnes was a suspect in another shooting incident. Police believe Barnes headed to the remote park wilderness to "hide out" following the Skyway shooting. "The speculation is that he may have come up here, specifically for that reason, to get away," parks spokesman Kevin Bacher told reporters early Monday. The speculation is he threw some stuff in the car and headed up here to hide out. Anderson had set up a roadblock Sunday morning to stop a man who had blown through a checkpoint rangers use to check if vehicles have tire chains for winter conditions. A gunman opened fire on her before she was able to exit her vehicle, authorities say. Anderson would have been armed, as she was one of the rangers tasked with law enforcement, parks spokesman Kevin Bacher said. Troyer said she was shot before she had even got out of the vehicle. Park superintendent Randy King said Anderson, a 34-year-old mother of two young girls who was married to another Rainier ranger, had served as a park ranger for about four years. The shooting renewed debate about a federal law that made it legal for people to take loaded weapons into national parks. The 2010 law made possession of firearms subject to state gun laws. Bill Wade, the outgoing chair of the Coalition of National Park Service Retirees, said Congress should be regretting its decision. "The many congressmen and senators that voted for the legislation that allowed loaded weapons to be brought into the parks ought to be feeling pretty bad right now," said Wade. Wade called Sunday's fatal shooting a tragedy that could have been prevented. Calls and emails to the National Rifle Association requesting comment were not immediately returned on Monday. The NRA said media fears of gun violence in parks were unlikely to be realized, the NRA wrote in a statement about the law after it went into effect. "The new law affects firearms possession, not use," it said. The group pushed for the law saying people have a right to defend themselves against park animals and other people. Bacher, the parks spokesman, said surviving overnight in the open on Rainier is difficult, but not impossible for a person with gear and skills. He added that authorities wouldn't shed tears if Colton didn't survive. "I don't think any of us would be sorry if he was not in a condition to fire on our searchers this morning," Bacher said.