I've had things delivered by LaserShip from a couple of different companies. They do a very good job delivering to me. I'm always able to get tracking information with them as soon as it's actually shipped.
I'm not sure what you mean by a last mile shipper? The package goes directly to LaserShip from the companies that I've ordered from. They've never been transferred to them by a different shipper.
Edited to say: I looked at their website and read what they said about being a last mile shipper. I honestly thought the packages were sent straight from them. My packages from Anthropologie, Nordstrom and Nespresso come from them just as quickly as they did before they started using them.
The Bluebird Carries The Sky On His Back"
-Henry David Thoreau