I still maintain though, in every corporate office I ever worked in, and there were many, if we needed to overnight something we went Fedex. No doubt about it. Unless the corporate had a contract with another company, which is certainly potentially the case here.
If it is that important, choose UPS Early Am for delivery. I worked a Christmas @ UPS as a pogue. We transferred three Early AM packages back to the Distribution Center. For whatever reason, they didn't get on the truck to the airport. They rented a helicopter to fly them to the ramp @ DIA in order to make the plane. They may have got a deal, but it was at least $1k to get it done.