C-mode blows away may Ctrl-C binding with a prefix -- how to remap prefix?

[lindahlb]

Hi,

I'm currently using Windows-esque key bindings for copy (Ctrl-c), cut
(Ctrl-x) and paste (Ctrl-v). They work fine, except when I open a C/C+
+ file. In the major mode, it remaps the (Ctrl-c) key to a keymap
prefix. I want to remap this keymap prefix to another key and return
the (Ctrl-c) mapping to my own copy command. How do I do this?

I currently have a c-mode customization hook, but couldn't figure out
how to do it there. Here is what I tried:
(define-key c-mode-base-map "\C-c" 'smart-copy)

Thanks,
Brian