Good lord, man. I know there's a "prototype for everything" (That sound you just heard was Ed's lifeless body collapsing to the floor) but you'll be hard pressed to find a terminal operation with the scope of work you describe that doesn't have a double track main, or at the very least a long passing siding to help manage traffic passing through. In a model railroad scenario, it's even more critical. If you're stuck you're stuck, but you might consider finding an alternate route for at least the passenger trains to take to bypass the yard.
My yard is based on Hagerstown, Maryland, which has been substantially downgraded by CSX compared to the good old WM days, but there's still two tracks from behind the Lowe's off Halfway Blvd. all the way up to Church Street near North Junction. Judging by the fresh ballast I saw on the Google Map image, they're putting a third siding in for the same distance.
When I was working with the crew here to design my yard, that was one of the issues that came up... Where do you stick trains when you're not ready for them yet, and how to trains get through the area if they have minimal or no work at the yard. Three full length tracks is the ideal, especially with full interlockings at each end. I can bring a train in from either directions, and have access to any one of the three tracks for a through maneuver, a dump and run, or to actually work the train without clogging up the A/D tracks.
If you've only got one track, the simple answer is to reduce the frequency of your traffic. Or have a couple of longish sidings out on the main where you can hold trains before you're ready for them. That might be your best answer.
When I'm running my layout by myself, I have the luxury of holding a train out on the main indefinitely until I've got a track clear for it in the yard. But in practice, the three tracks around the yard actually can serve as a third staging yard!
Lee