Very cool eel!!
I think that 250' is a little on the short side, but perhaps you will get by with your storage tank (think "thermal" capacitor if your reference is EE) since it will have a 24 hour charge with only a 4-8 hour discharge (depending on light cycle).
The reason most people use polyethylene tubing for the ground loop is due to the limiting thermal resistance being the ground itself - not the tubing. You can only conduct, as fast as the weakest link and since that is nearly always the ground ... then why use copper? That said - don't dig up your current loop, use it, enjoy it, and when you figure out that it is not long enough add 2 more 250' lengths of polyethylene in parallel to the copper loop.
I look forward to seeing this tank develop!