Automated Testing for testers with no coding required

I'm trying to improve the testing process where I work, but without adjusting the structure.

What we have: VSTS, Selenium IDE, Testers who write test cases, but not code.

What I'd like to do is manage a way to marry our TFS continuous integration with the Selenium tests we write. These are NOT the code-driven selenium tests, but rather the IDE version where users click through, and set assertions using the IDE (All are just UI tests). I know we can export those tests plans as a .SIDE file, but what I can't figure out, is how to have our TFS server execute those as part of a deployment or build pipeline.

Ideally, developers/devops would setup projects in TFS from the onset with whatever solution makes sense to execute these Selenium .SIDE files, but afterwards, the testers would manage adding/modifying those tests cases elsewhere.

The real goal here is to not have testers writing code, or checking in code. Only writing these UI Selenium tests, but having TFS execute those as part of CI.

Researching this on the internet drives me basically always to something that requires testers to write code.