First, I might try just swapping the magnet of the CC out- if you put a ceramic magnet in there, it becomes a Custom, and the EQ of that pickup is radically changed. It might be what you are looking for, and you'd be out $5.
Yes, please explain what you mean with "better mids". SH11 has a fantastic midrange. it can be a little on the dark side if installed in a non-bright guitar (sometimes happens in les paulish guitars). I am with mincer, anyway. Try a ceramic magnet or a A8.
A rough Alnico 5 or rough unoriented Alnico 5 are less extreme options.
You could randomly select any humbucker on the market and get different mids from what the Custom Custom provides. I have no idea if it will sound better or worse, though.