Seeking Wordpress Form and List Plugin

I'm having trouble finding a wordpress plugin that will do what I want and lack the vocabulary to do a proper google search.

I need a plugin that will let me set up a database table(s) with custom fields from the dashboard and setup a search form on the public site that would allow searching on some/all of the fields.

For example a food assistance program that would allow the user to check on programs they qualify for based upon geographic location, income, and veteran status. After searching they would be presented with a results page with the option to drill down to a program details page.

My first instinct was to use WooCommerce or other shopping cart without the commerce component but its a kind of ugly match. Is there a good generic plugin that can accomplish this?

Thanks!