IMO it can be done. However, many people do not put lids on their tanks when they have reefs because they trap too much heat and allow for less gas exchange. So, I'd definetly put some eggcrate on the tank, which you can pick up at any hardware store, to prevent the eel from jumping ship.
You also cannot have any small fishes, which are popular in reef tanks with a snowflake. The same can be said with any crustaceans, whether they are shrimps, crabs, whatever. However, if you can get around everything I have just said, then I wish you luck! Keep us updated!!
And, one last thing, I recommend somehow securing your rock, because the eel is likely to topple the rockwork. Hiding PVC pipe in the rockwork will also keep your eel very happy. I know it doesnt look very natural which is why I think it would be a good idea to hide it in the rockwork.
Hope this helps!
~Emperor