My sources have told me the Media Bureau considers multi-step translator moves "distasteful", but not necessarily illegal, as long as they comply with the rules that apply to minor changes. To discourage relocation of translators across wide distances, the first one or two applications will continue to be processed quickly, but subsequent applications may take several months. So you may need to build a "permanent" facility at each of the intermediate sites and operate it for a while, rather than hanging the antenna on a portable mast for a few hours, filing for the license to cover, and then filing for the next move the same day..
Keep in mind translator minor change CP apps are exempt from filing fees, so the FCC may have decided the level of service should be downgraded accordingly.