I have been looking for countdown timers but everything uses JavaScript with HTML, and JS isn't accepted to be used on Chaturbate.
However, I am confident I have done something similar to this (and a "chat" image) years ago using PHP, where it tricks the PHP script into thinking it's an image (.gif), but sadly because Chaturbate puts images through their own URL (highwebmedia or whatever it is), it breaks this.
So I personally can't think of a way to do it but maybe someone else can think of a solution, other than directing to a third party website.
Edit:
This is one I found for how I meant using the PHP tricking, it's not the one I have used in the past but it does the same job. I haven't personally tested it but you could try if you'd like but I am very sure it won't work due to them parsing your images through their own server:
Step-by-step guid to create an email count down timer
medium.com
Here is an example of what I referred to which I HAVE tried, regarding the "chat image/gif" on CB using PHP:
Click the image, it will let you type something.
I thought it would be a nice way for people to leave you comments but CB breaks it, unfortunately.