Most Fields are the Same
I'm assuming all the contact forms share the same fields (like Name, Email, etc.) except for the destination (like Media Inq, Business Inq, etc.)
If this is the case, I'd recommend using the same form and one of the fields would be something like "In Regards To" and it'd be a selection of the different departments or categories.
The basic form could live on a generic page where the user would have to select where to direct the inquiry. If a "Contact Us" link was clicked on a Media page, for example, the form would load with the "In Regards To" field pre-filled with Media.
Unique Fields Per Form
If the fields are different for each destination, I'd recommend using a multi-step form. The first question would be something like "In Regards To" and that would determine the fields shown in the second step.
Of note, if you go this route you may also consider putting Name/Email in the first step as well. That way if users jump ship after filling out Step 1, you can at least capture their Name and Email for retargeting. (Be kind with retargeting though)