When I lunge I like the horse to tip it's nose in a little bit, or at least be looking forward. If they start looking out from the circle I give them a little reminder boop on the lunge so they know to look back in. Sometimes they stop so I also have to train them that a boop on the rope is different from a woah.
For me, personally, I wouldn't use a chain, but I would use a rope halter so the horse can't brace as much.
Start at the walk and practice the booping reminder at a walk. If your horse is still dragging you around at a walk then there's other issues here besides him just tucking his nose and looking outside the circle. See below.
This gets me into the territory where I don't let myself get hurt. The animal is jeopardizing your safety at this point and it needs to be known that this is not okay. I get really mean and harsh on the animals when they risk my safety. I will not just jerk their face back, but I will do it repeatedly until they start yielding off the pressure faster and more respectfully, then I will step back, take a break, and ask normally for them to yield off it with softer and softer pressure. Then we are at the point where we can just do the walking boop exercise again and they will yield. Some horses, people, animals, are thick in the head and need the reminder loud and clear. They might even need that aggressive reminder more than once if they are really thick. I am only mean to them if they are mean to me first, and I'm not ok with letting them control the situation. By the looks of it, your horse is taking advantage of you and you need to step up and take charge. Do you have the strength to do this? Of course, start with what I mentioned above and only escalate if necessary, don't just go out there and wail on him right away.
This is what I would do, it might not be right for every person, horse, situation, it's not the nicest but I'm not ok with my horse doing that to me, or anyone else, so they are going to get a piece of my mind if they try to pull that crap with me.