Here is my shortened abstract class:
abstract class Report {
    protected internal abstract string[] Headers { get; protected set; }
}
Here is a derived class:
class OnlineStatusReport : Report {
    static string[] headers = new string[] {
        "Time",
        "Message"
    }
    protected internal override string[] Headers {
        get { return headers; }
        protected set { headers = value; }
    }
    internal OnlineStatusReport() {
        Headers = headers;
    }
}
The idea is, I want to be able to call Report.Headers from anywhere in the assembly, but only allow it to be set by derived classes. I tried making Headers just internal, but protected does not count as more restrictive than internal.  Is there a way to make Headers internal and its set accessor protected AND internal?
I feel like I'm grossly misusing access modifiers, so any design help would be greatly appreciate.