The 1996 SE had the 3.1 V6 160hp/185tq. The 1996 GT and GTP had the 3.4L V6 which is not a very reliable engine (as you already seem to know).
With that said, I would take a look at it, but I wouldn't spend more than $2200 - and that is if its in great shape (mechanically/cosmetically).
Otherwise I would search for a 1997+ SE or GT with the 3.8L. Gosh I love the 3.8 - GM's best motor by far. The 2.4L Twin Cam was also nice too in the Cavalier Z24's... I never had any problems with mine, but that's a different story for another time.
Good luck finding a car for your wife!
