I know foundation settlement due to soil volume change with varying soil moisture is a big problem in Texas areas,
as is large scale ground settlement due to groundwater pumping.

Approximately where on your street is the first street stormwater drain, and is there a buried stormwater drain pipe on your side?

Do you have any legal liability worries about how the drain discharge is going across the public sidewalk?

In FL, NC and KY I believe authorities would order me to
cut into my driveway and route the discharge pipe underneath the pavement
so that the water pipe discharge exits onto the street from the edge of the driveway in a downhill street direction,
although many places would require the water to be professionally connected straight down to the buried storm drain pipe,
which hopefully is under your side of the street.

How are you presently handling your roof gutter downspout discharges?
Is that roof rainwater discharge eventually finding its way through soil into the well so that it too is pumped through your system?