I too think cold hard tires are quite the challenge on Monte Carlo. Honestly, I think a warm-up lap will do wonders.
That said, yes, the car comes with sports hard, and 8 times out of 10 the tires the car comes with do seem to be appropriate (when unmodified).
And I think it'll bring the most interesting results in regards to the length of the race... which is neither endurance length, nor a sprint... it's something in between.
I've set the laps for the race @ 20 laps.
I believe that will make for a race that's roughly 40 minutes, but not exceeding that.