South Dakota Governor Kristi Noem had been named a top contender for Donald Trump’s running mate until an excerpt from her book revealed last month that she shot and killed her own dog. According to a Monday Axios report, the GOP leader may not be hired by the ex-president, but she could potentially take a top position with the National Rifle Association (NRA). Two sources told the news outlet that Noem “pitched herself” for a role with the organization “as early as last fall.” READ MORE: Kristi Noem doubles down with ‘legal cover’ for shooting her puppy to death Additionally, one source with …