The Green Scream is definitely the least exciting overdrive model I've ever played. It kind of reminds me of a TS-9, but not really.
An OD808 would be a much better fit (IMO). I'm sure there are plenty of profiles featuring one I've yet to discover.
I know the Green Scream is meant to be a cross of the TS-9 / OD808, but I really don't feel it. It's missing that warmer mid hump that the OD808 gives you.