I don’t know if there is such plugin unfortunately, I usually see these types of solutions hard-coded into themes or custom coded.
You can do things like this or this, but once there is a redirection to the results page, then the WordPress passes the query to the results template, which cannot be affected from the perspective of a plugin. I understand exactly what you need, simply redirect to a page where the results are displayed and can be refined further – as simple as it sounds from usage perspective, from plugin development perspective it is very problematic, otherwise this feature would be already included in the plugin. A solution is under development, but there are many programmatical issues/boundaries that need to be resolved in order to make it work correctly.