What is the value of a 1933 gold double eagle proof copy?

The Word "copy" is the giveaway. Copies of extremely valuable coins are generally made from a base metal plated with a small amount of gold; they're sold as "collectibles" on TV and in magazine ads.

Numismatists aren't usually interested in copies of real coins, and the gold plating is usually so thin that it would cost more to remove it than its value to a scrap dealer. But if you aren't interested it the item as an investment it can be an inexpensive way of owning a replica of one of the most famous American coins ever struck.