I also missed the behavior of more readable strings in config. So I create an extension method on string.
public static class StringExtensions
{
    public static string Interpolate(this string self, object interpolationContext)
    {
        var placeholders = Regex.Matches(self, @"\{(.*?)\}");
        foreach (Match placeholder in placeholders)
        {
            var placeholderValue = placeholder.Value;
            var placeholderPropertyName = placeholderValue.Replace("{", "").Replace("}", "");
            var property = interpolationContext.GetType().GetProperty(placeholderPropertyName);
            var value = property?.GetValue(interpolationContext)?.ToString() ?? "";
            self = self.Replace(placeholderValue, value);
        }
        return self;
    }
}
And use it like
    [Fact]
    public void Foo()
    {
        var world = "World";
        var someInt = 42;
        var unused = "Not used";
        //This is a normal string, it can be retrieved from config
        var myString = "Hello {world}, this is {someInt}";
        //You need to pass all local values that you may be using in your string interpolation. Pass them all as one single anonymous object.
        var result = myString.Interpolate(new {world, someInt, unused});
        result.Should().Be("Hello World, this is 42");
    }
EDIT:
For dotted notation support:
Credits go to this answer. 
public static class StringExtensions
{
    public static string Interpolate(this string self, object interpolationContext)
    {
        var placeholders = Regex.Matches(self, @"\{(.*?)\}");
        foreach (Match placeholder in placeholders)
        {
            var placeholderValue = placeholder.Value;
            var placeholderPropertyName = placeholderValue.Replace("{", "").Replace("}", "");
            var value = GetPropertyValue(interpolationContext, placeholderPropertyName)?.ToString() ?? "";
            self = self.Replace(placeholderValue, value);
        }
        return self;
    }
    public static object GetPropertyValue(object src, string propName)
    {
        if (src == null) throw new ArgumentException("Value cannot be null.", nameof(src));
        if (propName == null) throw new ArgumentException("Value cannot be null.", nameof(propName));
        if (propName.Contains("."))
        {
            var temp = propName.Split(new char[] {'.'}, 2);
            return GetPropertyValue(GetPropertyValue(src, temp[0]), temp[1]);
        }
        var prop = src.GetType().GetProperty(propName);
        return prop != null ? prop.GetValue(src, null) : null;
    }
}