If it were me I would bug them again in the morning. I know its the weekend and usually its almost pointless to talk to the people who babysit on the weekends but you never know. If you end up taking this load in on Monday without a solid preplan behind it then its time to have a chat with your DM on Monday
You should have been trying to arrange a drop at your Laredo yard the second you got the load. Just remember that for future reference.
I don't know how Swift works, but when I get a load like that I don't ask IF I can drop it. I ask where they want me to drop it. Even so, we all get stuck with a stupid weekend load occasionally.