We can run RS3's in the rain. Yes they are not as good as the other tires you mentioned, but they won't melt.
Remember, smooth motions, don't try to cut quickly. Start slower than normal and work up in speed until you feel your new limit. A very good training experience.
I have gotten stuck in a surprise rain storm with slicks on, just slow down, make later apexes than normal, and run a wider track around the turns.
The worse thing about rain is that the inside of your car gets all wet as you have to drive with your window down. Think I had a half of inch of water in my backseat once...