VS 2015 unit testing with web api 5

I have a web api MVC5 REST service running in IIS Express under VS 2015. I want to write unit tests to excercise the REST services. I want to be testing the REST services syntax and output, not the controller. My problem is gettin the IIS Express service to be started on a known port when the test starts. How can I configure/code this to make sure the IIS Express is started. (I also noticed a "web" profile in the Web API project's debiug section. It seems to start the service as a console. But I can't figure out how to make use of that.)