Just when I thought there was hope for you..............
You go and blow my theory
Blue, especially the color's you're talking about falls into the darker shade of base paint.
I'm not aware of any paint manufacturer that allows a Urethane clear to be sprayed 3 day's after the base.
If you're really set on having someone else spray the clear...
I'd recommend this approach.
Lay down your base color.
Wait about an hour, then apply only 2 coats of clear.
Let the clear dry over night, then wet sand the clear with 600 grit, make sure you don't break through the clear any place, just sand it until the clear is smooth.
Then take the car to a shop, and have them apply 2-3 coats of Clear on top of that.
You'll end up with a Very smooth top coat of clear, that will be easy to cut and buff.
But it will cost you more, since you're going to be buying a considerable amount of clear