I don't mean to discourage you, but 150-200 queries per second is next to nothing for a database server. Of course it highly depends on your actual queries, database scheme etc, but usually SQL servers should be able to handle 10k+ queries per second even on small virtual servers that go for like 5$ per month.
As for running a patreon, you can't really compare that to a PayPal donate button. Patreon is different in that you build a community around whatever you are doing and offer rewards to increase willingness of people to donate to your cause.
Take esologs.com for example. I'd say it's rather similar to TTC in a sense and they run a pretty successful patreon:
https://www.patreon.com/warcraftlogs