I've recently started using a pelleted newspaper product that has no colours, bleaches, purfumes or anything in it, it's just old newspapers that have been soaked, pulped and pressed out into pellets. I'm super happy with it and it is great for odour control as well as ease of scooping. The hatchlings I have on it find it quite easy to burrow through it and that's an added bonus for them.
With Shredded paper I think it would be a little more light weight and easy to push around and burrow through (great) but would end up in the waterbowl (not great) but you can try it in a couple of 'test-vivs' and see how it goes. I'm sure you can find someone to give you a test bag of shredded paper to try before you buy a shredder for yourself.
Tell us how it goes...