Suspension problem with '98 Neon?

This is an odd problem, but I'll try to explain as best as I can.

About a month and a half ago, I noticed that my '98 Neon Highline Sedan
started to "lean" in turns while driving on the interstate. Now I know
cars are supposed to lean in turns, but the way my Neon leaned made me
feel uncomfortable -- in right-hand turns, if felt like the car wanted
to roll to the outside, while in left turns (especially banked ones)
and on steep hills, if felt like the car wanted to roll and pitch back
toward the left rear corner to an excessive degree.

I suspect a weak spring in the left rear strut assembly, but the two
mechanics I took the car to couldn't find anything wrong (they each went
out on test drives with me, but I suspect that their sitting in the
front passenger seat during the drive masked the problem), and thus were
reluctant to even commit to making a repair.

I'm taking it to a third mechanic this weekend to see if he can resolve
this problem, but I'm not optimistic about my chances. But I feel that I
need to get this problem fixed quickly, or I'll find myself in a world
of hurt -- or worse -- when winter comes.

For the record, my Neon, as I mentioned, is a 1998 Highline Sedan, with
81,000 miles on the odometer. According to the FAQ at neons.org, it's
equipped with the SDC Touring Suspension.

Any suggestions or comments would be appreciated.

TIA,

 

Seems like the mechanic should drive the car without you or you behind
him in the back seat.