Password Protected Page URL Redirect

Greetings WP community. This is my first post. Be gentle!

I have been looking for a redirect plugin but have not found any which suit my needs. Was wondering if anyone knew of a good one.

On my website, clients can log into password protected pages, using WP’s passworded pages option. Once they enter the correct password, the page appears. At this point, they must manually click on the link which is now viewable to arrive at their final destination.

What I am looking for, is a plugin where I can set the page up so after a client successfully enters a password, the page then redirects to a URL, without them needing to click on the link supplied. Just looking to cut out this one step.

So far, all the redirect plugins which I have found will redirect the page once it is accessed. Entering in a password never shows up. I am looking for a redirect plugin where a password must still be entered for the page but it immediately redirects once the correct password is entered.

Would anyone happen to know of a plugin to do this? It will need to be done on a regular occurrence, so I am not really looking at editing any of the source.

Thanks!