If you have some flexibility in when it's picked up and delivered, you could try ringing a few removalists near your home, and ask if they can pick up the item when next they're near the item's location. If it's interstate, try ringing one of the big companies and see if they'll take it as "backfill" (ie topping up a truck going from A to B that's not quite full).
You could also try posting on gumtree, or looking under "delivery drivers" in the yellow pages.