I feel like some variation on this thread pops up every month, but I just feel the need to remind everyone that Hamilton really is no anomaly. Their ticket prices are the same as every other show on Broadway. They also sell rear mezz for $59, which is a cheaper bottom price than many shows. I bought a seat in the mid-orchestra for a performance at the end of August when tickets went onsale for the $167 price (row L). This is a hot ticket and if you want to spend as little money as possible, you gotta put in the effort. If you're just now, months after the onsale, trying to score a ticket near the beginning of the run...well, that's kind of on you.
"Demand based pricing" isn't great for the average theatergoer, but I'd rather see a show take in the profit on a $300 ticket than some scalper.