I bought a big trolley jack from Autobarn on sale last year for $200, which was pretty good value. I can't remember the exact model, but I can check tonight if I remember.
It can lift the car very high, but the lifting pad still manages to sit very low when fully lowered. The pump part of the jack could still cause problems for you, but from memory I think the jack body would be no more than 15cm high at that point. Would that be too high to fit under your exhaust?
The jack is made of steel and very sturdy, but therefore very heavy.