This solution will also get you Suit Only and No Evidence.
Go left, vault over the fence while the mecanics are talking. Move to the checkpost while keeping left behind the cars. Vault through the checkpost window and sneak out the door and keep left in the dark, then follow this video:
It's a bit clumsy but it get's the job done.
Instead of knocking out the KGB officer just wait for him to leave, so you won't have to fumble around looking for another place to dump the body like I did.