Both fields are going to offer good job opportunities and are worthwhile. People could debate in circles which has better job opportunities and is worthwhile, but as others have said, what you want to do is far more important.
If you go into either of these fields just to make money, you are going to be miserable. Actually pick something you remotely like.
For all intensive purposes, think of it this way: EE is hardware, CS is software, and CE is the middle ground between them. Do you have any preferences between those?
What made you gravitate to CS/EE in the first place besides job prospects?
No matter what, I would not advise doing a dual degree - one will be more than enough.