Thanks for all the help, but what I keep getting is that when I bevel, the model gets loads of 'dents' in it - at every vertex - and some 'cuts' as well along certain edges.
Even if I painstakingly select a whole edge, 1 edge at a time, and then use W -> Bevel, it forms a dent at each vertex along the way.
I have run the model through all manner of simplification, using Meshlab, netfabb, and removed doubles in Blender. These helped a lot to clean up the mess, but mess still remains.
I'm really at a loss. I just want to cut off the sharp edges!
Solution? - print with sharp edges, file them off. What do you think? Is this a viable solution? What material would I have to use? I am hoping to use Silver or Steel. Will that make post-production difficult?
Thanks everyone.