[SPS-1]

It is unfortunate that a builder would not plan for something as simple as this.

Exactly.

A eavestrough outfit might be able to move the downspout to another spot. That would require re-sloping (possibly replacing) some of the gutters.

First thing I would look at is the slope of the land ---- where does the water want to go ? (Please don't say the land all slopes back toward the house.) You want to drain the water to a spot that it will flow away from the house --- not just to the spot that looks best.