First and foremost - I've read O.P. and most replies - sorry to hear you're having to go through this situation. So you are now spending your time and money in attempt to correct someone else's bad behavior. Obviously not knowing all the facts here, I do mean to alarm you. As you well know you are not dealing with a stable, sound minded individual. Any ongoing escalating negative situation has little probability of ending peacefully moving through the court system. And now that the law is involved that adds a whole other dynamic to the situation. He may at some time decide that you are now personally attacking him for no good reason at all. He is obviously not deterred by law enforcement so you should take that deadly seriously. His efforts at getting YOU to OBEY HIM are not working as he had planned so he may decide to up his game and change targets/tactics. I'd do everything I could to ascertain if Jack Ass has access to firearms. If so, at even the slightest hint of a personal threat (and I believe you are already there), I'd immediately relay my personal safety concerns to local PD and the County Sheriff's Office. It's now not about noise/harassment complaint, it's about you and your loved ones personal safety. They are called Red Flag Laws in our state which means authorities can at least temporarily remove those from the situation at a minimum until the situation can be resolved. This is something not to be taken lightly. Think about it for a moment - he is acting abnormally at a time when most people are sleeping and is not the least bit deterred by law enforcement and court system. My head would be on a swivel when outdoors.
        Another option could be find out if he actually owns his home or is renting. If he's renting that could open up some positive possibilities.
             Here's how I'd handle the situation your experiencing - if the lights and sounds are not harming my rooster, other then him crowing early, and the hens are still laying as usual, I would not spend one dime on attempting to negate this awipes behavior. I would go to all my surrounding neighbors and fill them in on the situation with the Jack Ass's behavior from across the street. Some will probably react positively to being informed and some not so much and some might be unaware my rooster was up early, but I would not know until I asked. Some may have already been BULLIED by this guy. And who knows you may find an ally or at least how that situation resolved itself.  Based on what conversations I had with my other neighbors I could a) just let my rooster crow regardless of Jack Ass's behavior. b) And if my guy's predawn crowing was bother other neighbors who really didn't want say anything, I'd probably setup a spot for him in my garage to sleep at night then put him out with the girls in the AM. That way I wouldn't be spending money. And then when I would see this person I'd definitely not say a word, just smile and wave. It's like pouring boiling oil on their heads.