Part of the problem is the physical size. A lot of folks on Ebay want to charge for a crate that they have to build. If they in fact did build it, it would cost a few bucks to buy the lumber. Ask if they can quote a price for it to be shipped to a local dock. Most of the freight lines will charge a great deal less if they do not have to carry it to you or to your business. You can also check with them to see if the price is to your door. That would be the most expensive type of delivery.
Another option would be to have the bike disasembled. That may or may not be a good idea depending on who is doing the work. The guy that takes it apart may not have any idea what he is doing and could tear something up. But, if you could ship it ups in say 3 boxes, you would be at a maximum of about $90.00 to ship it.
There are a few folks on Ebay that sell mopeds that are used to shipping them and will quote you a reasonable rate. Any rate will be at least $100.00 to ship to you. (Give or take $20.00).
Forward air has several terminals and they are generally about the cheapest to ship. Some of the folks quote a high price because they do not want to ship a moped. No matter how it gets shipped, it is extra work on their part. (There are a lot of lazy's in the world today. They want you to pay them and then come and get it. When you get there, they will point you in the direction of where the moped is).
Check to see if they are going on a trip or business any time soon. I was bidding on a scooter once where the guy was going to Atlanta for business and was willing to drive his truck with the scooter on the back but I would have to have met him. They may have someone they know going in that direction.
Call or check with a freigt company yourself. Chances are, the person that is selling the moped really has no idea how much it will cost to get it shipped. They are just doing things the lazy way. Keep in mind that the person with the moped will have to carry it to a freigt company so check with them first.
I had gotton a quote for shipping a scooter (honda 150cc) shipped from Califoria. The cost for shipping that ws going to be about 175.00. A moped is a good bit lighter and shipping from California meant going all the way across the country. I had gotten several quotes from New England area from 125 to 150 for shipping.
Keep looking and don't forget to check the local traders. Sometimes you luck up!!
I've gotten two that way and I spent less than I would have spent on just the shipping.
"With a long winded rely"