I don’t think RapidSearch-Pro ever had dependencies on Google. I think you might be confusing this with RapidSearch which used a Google custom search of your website?
Here are links to all the current search stacks I make:
The only one in that list that uses Google is RapidSearch.
There are free trial versions of everything listed there, so you can have complete confidence in knowing what you are buying. All these search stacks are updated to work with the newest versions of RapidWeaver and Stacks. Excellent compatibility is offered for various themes and frameworks.
The example in the website you are trying to replicate seems to be more of a filtering system, rather than a searching setup. The Filter stack would likely be the best tool to replicate something like that if you need to iterate over multiple criteria:
There’s a good chance the updated Builder stack will let you filter lists of items too when it’s released.