I wouldn't have a problem lying to your neighbor or this council who is only making you get rid of him to shut the crazy lady up. They are taking the lazy way out .They figure if your rooster is gone the crazy lady will shut up and stop complaining to them but she won't. People like her enjoy the drama and she will be on your case again as soon as you get your goats. I have two pygmy goats and they make a lot more noise than a rooster does, wonderful beautiful noise that they are meant to make I might add.
As far as your Spock goes keep him, they are not smart enough to identify him and you said he is quiet when the council tour came through so I doubt he would give himself away if the council came looking for him. I would go to a farm that sells fresh butchered chicken and buy one then put it in your freezer, duct tape Spocks name on it with the date. Let the council come to you, don't push for a meeting and tell them you had him butchered because no one wanted him and you cannot afford to pay their fine. Show them the carcass and put on your best peeling onions face, if they say that the crazy lady is still complaining about the crowing say you don't know what she is talking about. As far as her new metal post in the ground I'd go out, pull it out of the ground and make it disappear. She is obviously still peeking around the fence at you, I would put up a sign to 'smile you are on camera' and face it at the end of the fence so if she peeks around she will see it. If you don't want the expense of the camera get a block of wood, screw a plastic water bottle cap on the end and spray paint it black and add some wires to it, from a distance it will look like a real camera. You have put up with way too much BS already I feel for you! I wish you the best you deserve peace and quiet. Oh and if you can still see her shining yard lights directed at you put up a mirror and reflect the light back on her house!