First of all, create a landing page and embed a how it works video. If done well it seems like a service many SaaS companies would like to know about.

In a crowded internet marketing space, selling and marketing your service is tough and will need a good marketing budget.

However, if you can offer your service to selected customers at zero or low prices that could be a good testimonial.

Even then it may be tough because SaaS owners will be vary of handing over their customer service to a 3rd party.
This question is one many SaaS owners may ask you -

How can you help me get sales?

You may want to review a website like http://www.snov.io for outreach and emailing.

Feel free to book a free 15 minute consultation with me: https://clarity.fm/asifosman/freecallAsif