if you find out the controller type that might help you to find an answer comparing with the list of supported displays. (There is one known line of displays+controllers (sainsmart?) I was too lazy to implement. I got one sitting here that looks like your 2004 - 1$ for the trouble plus shipping and it's yours.)
Digole has the same 2004 display for $2.50 more but with a MUCH BETTER interface than the bangood one which is just a IIC to parallel expansion IC. http://www.digole.com/index.php?productID=555