Shipping a handgun is a little tricky. I believe you can ship it to your self using Fed-Ex (preferred) or UPS. You cannot have someone else ship it directly to you. It would have to go through a FFL dealer. If you are going to be there anyway, and are flying, just declare it in your checked baggage. Check the airline's website for details. If you are driving you can lock it in a hard case in the trunk and avoid legal problems. Transporting it across state lines is not an offense.
Value? In very good condition it is probably worth $750-1500. Gunbroker has one priced over $2700. I think that is a bit optimistic.
The Eagle proof mark is called a Waffenampt.