I view the templates more like suggestions rather than rules. If you can't find a fitting template, create one for yourself, or just don't bother with calling it a template at all. Just build the character the way you see fit.
I don't think I've seen a pure template character in a very long time, anyway.
The only important thing is the pure mortal template, really, as it grants you bonus refresh for not taking any power. But as you rightly said, an Item of Power still counts as a power, so that one is out of the question.