When you rent, you become quite resourceful.
A few years ago I used the flat wire from RatShack. It was a side-by-side configutation so it should pass muster here.
The best way I found to use this is to lay it on the floor, put some masking tape over it and make sure that whatever covers it does not move. I positioned it, put some masking tape over it in a few places, and then had wall to wall installed over it (with padding, of course) and it was totally undetectable. It worked like a champ for the three years we lived in that apartment. I have every confidence it would still be working to thia day had we stayed there.
FWIW, RatShack also had some really thin 75 ohm coax (with connectors already installed) that I ran under the rugas well. I used this under the rug to move the cable connection to the other side of the room and it worked like a champ.