My guess- none. Any truckload carrier could start their own expedite division if they wanted to, but there is no reason for it with truckload, and it would not be a good investment for them. Schneider indeed runs some stretched Century Class straight trucks with their Knoll division, to deliver furniture into the cities. LTL's such as Con-Way and Yellow use expediters all the time, when they require an air ride truck or super-fast delivery, or both. Expedite does not have much competition with truckload carriers, and expedite is here to stay, as it would have been gone long ago if the truckload carriers could REALLY make a fast system with 53 footers work. Won't happen, and typical expedite O/O's are not going to put up with a Schneider-like system of low pay and long periods away from home.
-Weave-