Would rates be at all competitive? Most checked baggage is quite heavy, and the cost to ship something overnight, or even 1-2 day would most likely be quite hi

Would rates be at all competitive? Most checked baggage is quite heavy, and the cost to ship something overnight, or even 1-2 day would most likely be quite higher than the fee your airline charges per bag (which unlike FedEx it travels with you). Maybe for a planned well in advance trip where you ship items you won't need for a couple days it might make sense but I can't see it working for the short 3-4 hour business trip.