I've had outstanding luck with 0000 Steel Wool on any of my chrome. It won't scratch the chrome at all. I use it routinely to get burned stuff off of my exhaust. Give it a try. You can pick up at the local hardware store for a buck.
I wouldn't use it on paint, though....
I lay a very wet cloth towel on any painted surface that I'm trying to remove dried bugs, or ? for 15 or 20 minutes. After that, use your normal cleaner and they should come off.
Take care,
Dave