Currently, there is no direct way to print and then mail a check. However, you can personally handle mailing it to your customer, Kim.
You may also want to check for a third party service or app that allows you to print and send the check.
I've also added this link about reports with vendors in QuickBooks Online: Run a report with vendor totals. This way, you can filter the information you want to show in the report window.
Please let me know if you have other questions about printing and send a check or any QBO-related concerns. I'll be around to help you out some more.