wpchelle

The Gravity Forms plugin will allow users to publish to your site by submitting a form.

As for the public count of submissions, it looks like it is possible https://www.gravityhelp.com/forums/topic/submission-count.

If you don’t want to create it yourself, you could post the job on Gravity Forms’ job board https://www.gravityhelp.com/forums/forum/job-board.

Hope that helps.

Have you looked at the Gravity Forms plugin?

https://www.gravityforms.com/features/form-builder

From the page linked above:

Post Fields

Gravity Forms isn’t just for entries. It can also create WordPress posts. It’s easy to build a form that creates WordPress Posts on your site. They’re perfect for user-generated content, directory listings and much more.