Tyres for damp days

[dptdpt]

My SR3 came second hand from Radical complete with brand new wets but slicks which I was told were used but only a few months old. Several starter motors later, I changed these for softer Hankooks which were significantly more confidence inspiring, and now I want some damp day / intermediate tyres for track days that will give me some grip in early morning damd / light rain where the wets just get too hot.
I'm struggling with the sizes, have tried Khumos but the rears catch on the bodywork. Anyone got any suggestions?

[dptdpt]

I should have said they catch on the wheel arch as opposed to bodywork - it wasn't offset that was the issue, just diameter.
The Kumhos were 265/45/16 Ecsta V70A. I think these are the size fitted to road cars but i guess set up with more clearence?