Who actually cut the 'V' swale around the pool? Unless your original guess of 7" of pitch to the street is way off then you should not have that much standing water. In theory if you cut a 7" deep swale around the pool that had a perfectly flat bottom then you should only have approx 1" deep puddles here and there after the rain stops just because it is impossible to keep soil perfectly level. I would guess they did not use a laser level or even just a old school builders level and you have a one or many high spots in your swale. If graded properly a simple swale will work but who want to look at that and you also need to be sure to maintain it so you do get any damming action. The stone and pipe I suggested just makes it more aesthetically pleasing and far more maintenance free.