I kept getting nailed(heh) by the spike strips as soon as I made an
irresponsible immedeate left(I was trying for the bribe in the docs).

But, I found an obfuscated way around it.

Once the chase is on, head left(you'll get spike stripped), and skim the
wall into the ramp towards that walmart like place. Go into the tunnel,
and STOP. Park the car in the middle of the tunnel(some cops can make it
to the walmart side of the tunnel). Go out to the 8-ball's side and grab
a vehicle. I took a van, and went to the pay & spray. Watch the clever
Officer SpikeStrip next to the P&S disappear!

Then go back to the car and slowly drive your way back to the P&S(no
jumps, running over people, etc), and continue at your leisurely pace. :)

Yeah, I'm a bit rusty on this game, but I'm glad to see there's still
alternate methods. First time I retried this mission I went for a jump
over to the docs & flipped. 2nd time, I got the car all the way to the
gas station and flipped it mere feet before the car crusher. Ugh. But,
it's behind me now.

This is the same person who barricaded Salvatore's driveway and tossed
grenades over the wall in Sayonara Salvatore. :)