I do this all the time. The office sends Pelican cases of instruments and materials needed for classes to my hotel, and I fly with just a carry-on.

The hotels (Marriott, but I'm sure it isn't relevant) have no issue accepting the shipment(s), and since I often travel to several cities it's actually easier.

We use FedEx. Quite efficient, they even come to the hotel, or training location, to pick it up for the return.

Given the weights, I'm pretty sure it's a wash, cost-wise, between FedEx Ground and overweight bags.

All the best, James