The issue here isn't bots, the issue is that there are a lot of people who want to go, and they can't decide which ones will stay home (as there isn't enough space for all of them). You need to decide on some kind of system to decide who will get to come.
You can draw randomly, you can determine who you want to come and invite them, or you can determine who want it the most by asking them to pony up a lot of resources - money or waitingtime (live queues) or effort. It's your choice, unless you refuse to decide, and let scalpers/botwriters decide for you and take everyones money for that.
The issue here is exactly bots. The problem is people who have bots are gaining an unfair advantage over those who do not have bots. But raising prices, all you're doing is shifting that unfair advantage from people with IT skills to people with a higher disposable income. Thus you're not solving anything.