Have you considered shipping your art with your national mail service? Postal services have increasingly concentrated their efforts on parcel deliveries. Why not use their vast networks to ship your art?
We have compared courier service rates with postal service rates for parcels. Postal service by far beats courier delivery companies when it comes to attractive pricing. When it comes to service, you'll find that courier service offers a faster service. It comes at a cost. TNT proves to be the most competitive in terms of pricing, followed by UPS and Fedex. It doesn't allow for insuring art though, while UPS and Fedex do offer that as an additional service.
When your deadline is not too tight, you can get your work to its destination, at a fraction of the cost by taking it to your local post office. Have access to all post's benefits and get better rates when you open a professional account. Check with your local post office!