Not the original poster but: Your service costs money to run. You're not, so far as I can tell, a recognized non-profit doing this out of the goodness of your heart. Given that you're not running ads, all the monetization angles are yucky.
The search query stream of your site alone is immediately monetizable for targeting by "legitimate businesses" who sell "reputation management services." (People who expect to find records are searching for their own names. People who suspect others might have records are searching for those names. Source: see every second comment on this topic) Notably, nothing in your terms suggests this isn't already your business model - you don't need to collect or retain personal information about the visitors to your site to monetize the search query stream. In fact, it's probably "better" not to collect PII, because then you can claim that the search queries are "just strings the visitor provided voluntarily" and that you have no idea whose names those are.
Also: your dataset is littered with records that are properly under seal, including juvenile records. You are NOT relieved of potential liability for disseminating these just because they're included in your dragnet, should they be found through your service and used in a way that causes actual damages.
I'd strongly caution anyone against using this site at all, much less searching names. This site is plausably an input to an extortion machine at scale.